480 articles trouvés pour ce sujet.
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Ordre des opérations |
2006-05-15 |
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Chantal pose la question : 2324/4-153+619= je sais pas comment calculer merci Claude Tardif lui répond. |
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Nombre d'or |
2003-10-31 |
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Claude pose la question :
Comment démontrer que si a/b est égal au nombre d'or alors a+b/a est égal aussi au nombre d'or Comment faut t il choisir a et b pour que le puzzle de lewis caroll soit réalisable? on sait déjà que les nombres 8 et 5 ainsi que 6 et 3 ne sont pas valables. Claude Tardif lui répond. |
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Opérations de base |
2003-07-05 |
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Anne-Marie pose la question : Je m'appelle Anne-Marie et je suis enseignante de 5e année à l'école Domaine des copains de Balmoral au Nouveau-Brunswick. Récemment, j'ai participé à un concours intitulé: Budweiser King Pack Nascar Hat Promo. Afin de réclamer le prix, qui est une casquette, je devais répondre à une question réglementaire. Il s'agissait d'une phrase mathématique qui se présentait comme suit: 4 x 26 - 24 / 8 = qui se lit: 4 fois 26 moins 24 divisé par 8 Claude Tardif lui répond. |
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Fractions |
2003-05-10 |
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Jacques pose la question : Voici la question qu'il pose: 2 x (1/2+1/4) + 3 + 2 x (1/3-1/4). La reponse est 4 2/3. Pourriez m'expliquer etapes par etapes ce que je dois faire. Claude Tardif et Diane Hanson lui répond. |
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Ses points de discontinuités est les irrationnelles |
2002-01-08 |
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Un eleve pose la question : Je voudrait montrer qu'il n'existe pas de fonction de R--->R tels que ses points de discontinuités est les irrationnelles, en utilisant la methode de "baire". Claude Tardif lui répond. |
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Fraction rationnelle |
2001-12-11 |
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Audrey pose la question : réduire en une seule fraction et simplifier.
(4-2x+x2)/(2+x) - (x+2) Claude Tardif lui répond. |
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Recherhce sur pi et exponentielle |
2001-03-17 |
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Cyril pose la question : étudiant a la fac de sciences de montpellier je cherche des informations concernant la demonstration suivante: "comment prouver que pi et exponentielle sont irrationnels?" Claude Tardif lui répond. |
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le nombre d'or |
2000-06-14 |
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Belhaj Saad pose la question : quel est le nombre d'or? Claude Tardif lui répond. |
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The next rational number |
2022-01-14 |
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Sophia pose la question : what comes after 3 1/2? Penny Nom lui répond. |
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Rates & Ratios |
2021-04-11 |
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Kenneth pose la question : Is it correct to think that a rate can have units that are the same? Usually
rates have units that are different to each other. Penny Nom lui répond. |
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Velocity and acceleration |
2021-01-09 |
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yen pose la question : The motion of a stone projected upward is given by the relation s=112t - 16t^2.
What are the values of velocity and acceleration when t=3 sec? Penny Nom lui répond. |
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Five rational numbers between -4 and -3 |
2020-07-28 |
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Priyanshi pose la question : Five rational numbers between -4 and 3 Penny Nom lui répond. |
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A 50:1 ratio in a pint |
2020-05-22 |
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Steve pose la question : How much oil do I need to put in a pint if it's 50:1 ratio Harley Weston lui répond. |
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The flight of a football |
2020-05-06 |
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Michael pose la question : Football is thrown from a 10-yard line. It reaches its highest height of 20 yards. It lands on the 50-yard line after 2 seconds. What is the equation of the parabola that models this throw? I really need help as I've been on this for the longest amount of time. Penny Nom lui répond. |
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What is -5 squared? |
2019-09-10 |
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Pori pose la question : What is -5 squared? Penny Nom lui répond. |
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A problem involving ratios |
2019-07-24 |
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Dhanendra pose la question : A plot reserved for playground in the ratio of length and breath 11:4 gram panchayt spends rupees 45000 for boundary at the rate of 100 per m. Find the dimensions of the plot. Penny Nom lui répond. |
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Order of operations |
2019-07-06 |
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Carri pose la question : What is the answer (( 5 × 12) / 3 ) + 30 - 50 Penny Nom lui répond. |
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A scale factor |
2019-03-19 |
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Miracle pose la question : A man in a photograph is 2cm tall. His actual height is 1.8m. Write a scale statement and determine the scale factor. Penny Nom lui répond. |
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The area of a triangle |
2019-03-19 |
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Dylan pose la question : The area of a triangle is 108in squared. A base and corresponding height
are in the ratio 3:2. Find the length of the base and the corresponding
height Penny Nom lui répond. |
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Non-repeating decimals |
2018-12-28 |
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Grace pose la question : What is non repeating decimal Penny Nom lui répond. |
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A gas and oil mixture |
2018-09-16 |
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April pose la question : For a new motor bike, the recommended ratio of gas to oil is 27:1 by volume. How much gas and how much oil are needed to fill a 14 L tank on a new motor bike?
Thank you Penny Nom lui répond. |
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An equation with rational coefficients |
2018-05-26 |
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Anagh pose la question : If x and y are rational number and
(x+y) + (x - 2y)√2 = 2x -y + (x-y-1) √5
Then find the value of x and y. Penny Nom lui répond. |
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A penny is thrown from the top of a building |
2018-03-16 |
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Zoraida pose la question : A penny is thrown from the top of a 26.7-meter building and hits the ground 3.39 seconds after it was thrown. The penny reached its maximum height above the ground 0.89 seconds after it was thrown.
a. Define a quadratic function, h, that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t.
b. What is the maximum height of the penny above the ground? Penny Nom lui répond. |
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Aspect ratio |
2018-03-01 |
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brad pose la question : can you help me find the width if I know the length and aspect ratio of a object?
length = 78
aspect ratio = 1.42
width=?
length = 107
aspect radio= 2.02
width= ?
thank you Penny Nom lui répond. |
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Parents, grandparents, great grandparents, ... |
2018-02-28 |
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jessica pose la question : every person has 2 birth parents, 4 birth grandparents, and so on. These people are known as ancestors. How many ancestors does a person have in each generation? write in exponential form. 3ed generation, great-grandparents? 4th generation? 10th generation? Penny Nom lui répond. |
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Dividing a region in half |
2018-02-24 |
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mandy pose la question : There is a line through the origin that divides the region bounded by the parabola y=4x−5x2y=4x−5x2 and the x-axis into two regions with equal area. What is the slope of that line? Penny Nom lui répond. |
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The decimal form of a fraction |
2018-01-12 |
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Tom pose la question : Prove that the decimal representation of the quotient of 2 integers must repeat (if it does not terminate). Penny Nom lui répond. |
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The square root of 6 is irrational |
2017-10-02 |
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John pose la question : http://mathcentral.uregina.ca/QQ/database/QQ.09.06/sylvia1.html
In the initial assumption of that proof, root 6 is assumed to be a/b where a and b have no common factors, but why does having a common factor make it irrational? Penny Nom lui répond. |
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Ratios and proportions |
2017-08-01 |
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khurram pose la question : what is ratio and proportion? please give a detailed note on this topic, i am really panic of these calculations Penny Nom lui répond. |
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Five rational numbers between -2 and -1 |
2017-05-31 |
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Prince pose la question : Five rational numbers between -2 and -1 Penny Nom lui répond. |
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Rational numbers between -2 and -3 |
2017-04-08 |
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Medha pose la question : Find 12 rational numbers between-2 and -3 Penny Nom lui répond. |
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Is the square root of 2 plus the square root of 2 irrational? |
2017-03-29 |
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haya pose la question : how can i prove the the square root of 2 plus the square root of 2 is an irrational number? Penny Nom lui répond. |
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The ratio of two ages |
2017-03-15 |
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Angel pose la question : The sum of Keith's age and Alan's age is 36. Four years ago, the ratio of Keith's age to Alan's age was 4:3. Find the ratio of their present age Penny Nom lui répond. |
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The ratio of students to teachers |
2017-01-20 |
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Dylan pose la question : The ratio of students to teachers at a school is 19:1. How many students are there in each total number of people? Penny Nom lui répond. |
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A rational number between -4 and -5 |
2017-01-03 |
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Anshika pose la question : Write rational number between -4 and -5 Penny Nom lui répond. |
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20+30*0+1=? |
2016-12-26 |
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Mr pose la question : 20+30*0+1=? Penny Nom lui répond. |
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Why are equivalent fractions equal? Part 2. |
2016-11-22 |
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Anandmay pose la question : Hi!
I saw one of your answered questions:Why are equivalent fractions equal?
The same question I had for why i searched and ended up entering this wonderful site.
The answer was so much experimental based.I mean,for example,it was explained how
3/4 was equal to 6/8 by dividing a unit into 4 equal parts and taking four of the parts,and then dividing the
same unit into 8 equal parts and then taking 6 of them.The result was that both the taken parts were equal.
(That is,3 out of 4 equal parts were equal to 6 of the 8 equal parts.)
But,this was very much non-generalized and experimental-based result(proof).
And we all know that in mathematics,we confirm some particular thing for all the numbers iff we generalize
it.
So,can you explain more clearly 'HOW' the 3 parts of the 4 equal parts and the 6 of the 8 equal parts of the unit
equal(that is the same)?I don't want experimental proof.I want clear proof,and thus please give a generalized
proof for all fractions and their equivalents.
Thanks! Penny Nom lui répond. |
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Integrate (x^2 - 4x + 4) ^4/3 |
2016-09-15 |
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Ifah pose la question : Hi i have questions please answer
Integral 2 sampai 3 dari (x² - 4x + 4) ^4/3 dx Penny Nom lui répond. |
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A ratio of boys to girls |
2016-06-12 |
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Jasper pose la question : There are 600 pupils in a school. The ratio of the boys to girls in the school is 3:5 how many girls and how many boys are in the school Penny Nom lui répond. |
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4 carpenters can build 8 houses in 10 days. |
2016-04-05 |
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Kenneth pose la question : Hello:
Here is my question:
4 carpenters can build 8 houses in 10 days. 2 carpenters can build how many houses in 15 days?
Here is one solution:
The number of houses built is jointly proportional to the number of carpenters and the number of days. So h = kcd where k is a constant. Substituting the given: 8 = k*40, so k = 1/5. Our formula is then h = cd/5. I'm not sure how to determine whether or not one unit is jointly proportional to any other unit.
However, if 2 carpenters are unknown as in 4 carpenters can build 8 houses in 10 days. How many carpenters can build 6 houses in 15 days? What is the solution using this method? And likewise, if days are unknown, as in 4 carpenters can build 8 houses in 10 days. 2 carpenters can build 6 houses in how many days?
I thank you for your assistance. Penny Nom lui répond. |
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The integral of a sum |
2016-03-10 |
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Rahul pose la question : How to solve definite integral of a sum. The specific problem is as follows,
Integral of ( 1+ sum of x^k, k=1 to k=n), x=0 to x=b *dx.
The answer is b + sum of b^(k)/k, k=2, to k=n+1. I understand only the integral
of first term. But integral of the sum I do not understand at all. Penny Nom lui répond. |
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A limit of a rational function |
2016-01-16 |
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selvamani pose la question : F (x) = x^3+3x^2-9x-2 / x^3-x-6 and limit x tends to 2, f (x) exist then limit x tends to 2, f (x) is equal to ? How to answer this problem. Penny Nom lui répond. |
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Integration of dx/(x^2+1)^3 |
2016-01-07 |
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Ishank pose la question : Integration of dx/(x^2+1)^3 Penny Nom lui répond. |
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A ratio word problem |
2016-01-06 |
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Nina pose la question : The length and the width of the rectangle is in the ration 5:3. Its area is 375m2. Find its perimeter. Penny Nom lui répond. |
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The dimensions of a rectangle given its area and aspect ratio |
2015-12-13 |
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colum pose la question : Can you work out the length and width of a rectangle where you know only the area and aspect ratio Penny Nom lui répond. |
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Dealing with surds |
2015-11-14 |
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Agnes pose la question : simplify (1-√3)(1÷3+√3) Penny Nom lui répond. |
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An example of an irrational number |
2015-10-22 |
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Allison pose la question : It ask me to find an example of an irrational number less than -5 and I don't
understand what the difference from a rational number and an irrational
number besides the fact that a rational number can be repeated and shown in
a simple fraction and an irrational number can't be written in a simple
fraction.
Can you help me? Penny Nom lui répond. |
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2.236... |
2015-10-13 |
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Ann pose la question : 2.236...
What is the most specific category of numbers does this fall into? Rational or Irrational? Does the .... mean that it repeats? Harley Weston lui répond. |
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Square roots |
2015-09-21 |
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mariana pose la question : I have read various articles on how to find the square root of irrational numbers and every article out there seems to be very confusing.
i read you answer to LUKOW about irrational numbers and i am still quite confused. Say i want to find the square root of 326. i know that it is between 18 and 19 because 18 is the square root of 324 and 19 is the square root of 361 im just very confused about the rest of the process. Please help! ( if possible i would appreciate two examples. thanks) Penny Nom lui répond. |
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Order of operations |
2015-09-12 |
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Tanisha pose la question : I would just like to double check if something like 5x squared times 4x cubed equals 20x to the power of 5??
It's just that we were told you can only answer an equation like this if the base is the same...so does that mean the x part or the whole thing like 5x?
I'm sorry if that didn't make sense!
Thank you for your help!! Penny Nom lui répond. |
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The length of a shadow |
2015-08-01 |
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maaz pose la question : Hello
I am having trouble with this question:
Lizzie, who is 6 feet tall, stands in her driveway at night, exactly
24 feet from the base of a spotlight, and casts a shadow that is 12
feet long if her friend Hannah who is 5 feet tall decides to stand
next to lizzie how long will her shadow be? Penny Nom lui répond. |
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Is 22/7 is an irrational number? |
2015-06-07 |
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Sayak pose la question : Is 22/7 is an irrational number Penny Nom lui répond. |
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Folding a rectangle to preserve the aspect ratio |
2015-05-09 |
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Anna pose la question : If you fold a rectangular piece of paper in half and the resulting rectangles have the same aspect ratio as the original rectangle, then what is the aspect ratio of the rectangles? Penny Nom lui répond. |
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Sharing $600 in the ratio of 2 to 3 |
2015-04-11 |
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Kenneth pose la question : Hello:
If two people share $600.00 in a ratio of 2 to 3, which calculations are correct: 2/3 X $600.00 & 1/3 X $600.00 or 2/5 X $600.00 & 3/5 X $600.00?
The denominator 5 is determined by adding 2 and 3 from the ratio.
I thank you for your reply. Penny Nom lui répond. |
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3 over "x" plus 5 |
2015-02-23 |
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Kenny pose la question : 3 over "x" plus 5. I don't know this is either a polynomial and if so how would you define it. Harley Weston lui répond. |
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Ratio of gas to oil |
2015-02-02 |
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Chris pose la question : I would like to find the gas oil ratio for a 2 cycle engine.
I have the gallons of gas and the ounces of oil used by
the engine, but I want to find what the ratio is. For example
I used 5.675 gallons of gas and 5 ounces oil what is the ratio?
Please explain step by step, and I understand there are 128oz in
a gallon. Harley Weston lui répond. |
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How do you change a decimal to a ratio? |
2014-11-29 |
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Esmeralda pose la question : How do you change a decimal to a ratio? Express the decimal 0.2 as a ratio. Penny Nom lui répond. |
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What is 20 and 3/5 of 10? |
2014-11-26 |
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Jeannine pose la question : What is 20 and 3/5 of 10? Question is written exactly this way.
Is this 20 3/5 times 10 (103/5 times 10), or is it 20 and (3/5 times 10)? Penny Nom lui répond. |
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Ratios ond percents |
2014-08-13 |
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aswathi pose la question : if the ratio of cost price and selling price of an article is be as 10:11,the percentage of profit is Tyler Wood lui répond. |
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Dealing cards in the ratio of 4:3:6 |
2014-07-31 |
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aneeqa pose la question : Maria, Sofia and Diana shared some cards in the ratio of 4 : 3 : 6. Diana received 14 more cards than Maria. How many cards did Sofia receive? Penny Nom lui répond. |
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Sharing in the ratio of of 2:3:5 |
2014-07-11 |
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Muzdalfah pose la question : Amount of Tsh 12,000 is to be shared among John,Hidaya and sabrina in the ratio of
of 2:3:5 respectivly.How will each get? Penny Nom lui répond. |
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50+9-13 multiplied by 2= |
2014-06-25 |
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Adrian pose la question : 50+9-13 multiplied by 2= Penny Nom lui répond. |
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The ratio of 1:1:2 |
2014-06-20 |
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FREDERICK pose la question : 3 girls shared some hair ribbons in the ratio of 1:1:2 what is the total number of hair ribbons if the third girl got 14 ribbons. prnny lui répond. |
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1÷[1-√2(order of surd is 4)] |
2014-05-02 |
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Anoushka pose la question : if t=1÷[1-√2(order of surd is 4)] , then t=? Penny Nom lui répond. |
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Ratios |
2014-04-18 |
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Kenneth pose la question : Should ratios contain only whole numbers and not any fractional numbers?
For example, 8:1, 2:5 have whole numbers. The ratios 2.5:10 and 1:4.5 do not have just whole numbers entirely.
If it is incorrect to express a ratio with fractional numbers, why are complex fractions correct?
I thank you for your reply. Harley Weston lui répond. |
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Ratios |
2014-04-18 |
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Kenneth pose la question : Should ratios contain only whole numbers and not any fractional numbers?
For example, 8:1, 2:5 have whole numbers. The ratios 2.5:10 and 1:4.5 do not have just whole numbers entirely.
If it is incorrect to express a ratio with fractional numbers, why are complex fractions correct?
I thank you for your reply. Harley Weston lui répond. |
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The area bounded by the X-axis and y=x^(2)-4 from -5 to 0 |
2014-04-15 |
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Lexie pose la question : Determine the area that is bounded by the following curve and the x-axis on the interval below. (Round your answer to three decimal places)
y=x^(2)-4, -5 ≤ x ≤ 0
The answer is 32.333 but I have no idea how to get there. Penny Nom lui répond. |
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The ratio of boys to girls is 5:3 |
2014-03-10 |
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jane pose la question : The ratio of the number of boys to the number of girls in the concert hall is 5:3. After additional 28 boys entered the concert hall, the ratio of the number of boys to the number of girls become 3:1 How many girls are their in the concert hall? Penny Nom lui répond. |
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Order of operations |
2014-02-04 |
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Alex pose la question : Hi there,i got problem with order of operation.Can you please help to find a solution for this?
Thank u beforehand
6-3(7+2)+(2+4)/3-4. Penny Nom lui répond. |
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Mixing water and wine |
2014-01-19 |
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manish pose la question : a man mixes three part of water to one part of wine.When he consumes
one part of mixture he realise that the drink is too dilute and hence adds one part of
wine to the remaining quantity what is the ratio of water to wine in the new mixture. Penny Nom lui répond. |
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The ratio of two shares |
2014-01-17 |
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Kenneth pose la question : Hello:
Two people share $100.00 as follows: $25.00 and $75.00.
The two share the $100.00 in a ratio of 1 to 3.
I want to think that the two people share the $100.00 in a ratio of 1 to 4.
Can you explain why 1 to 3 is correct and 1 to 4 is not?
I thank you for your reply. Penny Nom lui répond. |
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Is this operation associative? |
2014-01-14 |
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patrick pose la question : Associative test: Can you explain the following to me?
Is the following operation associative?: x*y=x+y+1
1) x*(y*z)=x*(y+z+1)=x+(y+z+1)+1=x+y+z+2
2) (x*y)*z=(x+y+1)*z=(x+y+1)+z+1=x+y+z+2
The answer is yes as 1) = 2)
My specific questions are:
1) How x*(y*z)=x*(y+z+1)=x+(y+z+1)+1 ?
2) How (x+y+1)*z=(x+y+1)+z+1?
Thank you!! Penny Nom lui répond. |
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A ratio problem |
2013-10-31 |
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indu pose la question : students of a school have been into 2 groups in the ratio 6:11, if the group has 870 students, how many students are there in all the school? Penny Nom lui répond. |
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Proportional rates |
2013-10-10 |
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Varsha pose la question : A province's Ministry of Social services has found that both the number of people needing social assistance and the province's total expenditures on social assistance are proportional to the rate of unemployment. Last August when the provincial unemployment rate was 8.4 %, the province provided assistance to 89,300 individuals at a total cost of 4107.4 million. The forecast unemployment rate for next August is 7.9%. How many people can the province expect to need social assistance next August? What amount should the province budget for social assistance in August? Penny Nom lui répond. |
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The ratio of salt to water |
2013-10-06 |
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varsha pose la question : My name is Varsha. I am a student and below is my question:
1. The brine used in an industrial process is 12.5% salt by weight. What i=
s the ratio (by weights) of salt to water to the brine?
Thank you
Varsha Penny Nom lui répond. |
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A sequence of operations, in order |
2013-09-20 |
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jen pose la question : multiply 46x23
add 342
divide by 70
subtract 5
I not sure what the answer is..i need to know the answer..thanks.. Penny Nom lui répond. |
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Golden Ratio |
2013-08-26 |
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Mark pose la question : Please Help. I'm trying to help my Child and I have no clue on this math question.
Rectangular shapes with a length to width ratio of approximately 5 to 3 are pleasing to the eye.
The ratio is know as the golden ratio. A designer can us the expression 1/3(5w) to find the
length of such a rectangle with width 6 inches. Robert Dawson and Penny Nom lui répond. |
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Distance as a function of acceleration |
2013-07-10 |
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Tom pose la question : If you start at a stoplight and your acceleration is 16t - t^2, how far have you gone after 8 seconds? Penny Nom lui répond. |
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Sharing in a car rental |
2013-04-09 |
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Marilyn pose la question : 8 persons are planning to share equally the cost of a rental car.
If 1 person withdraws from the arrangement and the others share
equally the entire cost of the car, then the share of each of the
remaining persons is increased by--------------? Penny Nom lui répond. |
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The dimensions of a rectangle are in the ratio 5:3 |
2013-03-08 |
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SM pose la question : 4. The dimensions of a rectangle are in the ratio 5:3. If the longer side is 18 cm,
a) What is the length of the shorter side?
b) What is the area of the rectangle? Penny Nom lui répond. |
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A messy arithmetic expression |
2013-02-24 |
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niiaryee pose la question : (((((5^2*4^3)1/5+9^3/3)+(25+(4*5)/15)^2-10)/10/2)3))))) Penny Nom lui répond. |
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4*4+4*4+4-4*4=??? |
2013-02-06 |
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Jacky pose la question : 4*4+4*4+4-4*4=??? Penny Nom lui répond. |
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Integration from 0 to 2pi of 1/(3cos x + 2) dx |
2013-02-04 |
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ankit pose la question : Integration from 0 to 2pi of 1/(3cos x + 2) dx Harley Weston lui répond. |
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A railroad embankment |
2013-01-22 |
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clint pose la question : the pennsylvania railroad found it necessary,owing to land slides upon the roadbed,to reduce the angle of inclination of one bank of certain railway cut near pittsburgh,pa.,from an original angle of 45 degrees to a new angle of 30 degrees. the bank as it originally stood was 200 ft.long and had a slant length of 60 ft.. find the amount of the earth removed, if the top level of the bank remained unchanged. Penny Nom lui répond. |
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3x6)+(12divided by2)-8= ? |
2012-12-17 |
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christina pose la question : hi my question that's been bothering me is what's
(3x6)+(12divided by2)-8= ????? Penny Nom lui répond. |
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An integral |
2012-12-16 |
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Slavena pose la question : integration of (lnx)^2 / x dx Penny Nom lui répond. |
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4+4x5+4= ? |
2012-10-31 |
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Bob pose la question : 4+4x5+4= ? Harley Weston lui répond. |
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Two cubes |
2012-09-04 |
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alexis pose la question : a cube has one face that is equal to the total surface area of another cube. Find the ratio of their volumes Penny Nom lui répond. |
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5 + 5 + 5 - 5 + 5 + 5 - 5 + 5 x 0 = |
2012-07-29 |
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Tom pose la question : 5 + 5 + 5 - 5 + 5 + 5 - 5 + 5 x 0 = Harley Weston lui répond. |
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9-3(2+6)/6-2*5 |
2012-06-08 |
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Sammi pose la question : Hi there,
I am doing a practice test for my admittance into a college accounting program
and I am really confused by this equation.
The answer I got was way off what the test answer sheet says it should be.
The question is
9-3(2+6)/6-2*5
If you could explain how the answer beccomes 35 that would be greatly apprciated!!
Thank you! Robert Dawson lui répond. |
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Sharing the profit |
2012-05-14 |
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Mafiza pose la question : A and B started a business by investing $6000 and $8000 respectively. At the end of the year, a profit of $2100 is made. How much amount will A get as his share of profit? Penny Nom lui répond. |
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Three metallic cubes |
2012-05-13 |
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Pragun pose la question : Three metallic cubes whose edges are in the ratio 3:4:5 are melt to form a single cube whose diagonal is 12*square root of 3. What are lengths of the edges(in cm) of the three cubes Penny Nom lui répond. |
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Ratios |
2012-04-20 |
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olawale pose la question : if 3 boys share y mangoes among themselves in the ratio x : 2x : 3x. if the largest share was 30, find the value of y. Paul Betts lui répond. |
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Integral 1/(25-x^2)^3/2 |
2012-02-22 |
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John pose la question : Integral 1/(25-x^2)^3/2 Harley Weston lui répond. |
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A 3 to 1 ratio of girls to boys |
2012-02-12 |
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amanda pose la question : At a recent school dance it was observed that there was a 3 to 1 ratio of girls to boys. If 204 students attended the dance, how many boys, and how many girls were there? Penny Nom lui répond. |
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A volume of revolution |
2012-01-11 |
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john pose la question : find volume of solid generated by revolving the region in the first quadrant bounded by the curve y squared=x cubed, the line x=4 and the x-axis about the line y=8. The answer in the back of the book is 704 pi divided by5 Penny Nom lui répond. |
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Uniform acceleration |
2011-12-06 |
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Android pose la question : At a certain instant, two cars A and B are 2000 ft apart. At this instant, car A is traveling at 15 miles/hr. and accelerating at 3 ft/s^2 while B is moving towards A at 30 miles/hr. and an acceleration of 2 ft/s^2.
Find the ff:
a.) The possible time of their collusion in minutes.
b.) The distance in ft. each has traveled before collusion. Penny Nom lui répond. |
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Ratios |
2011-10-17 |
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Kenneth pose la question : Can you think of a ratio that has units that have not canceled out?
Do not use a rate as an example, for example miles per hour.
Would the following make sense? What is the book to student ratio in
a classroom with 20 students and 15 books? Student to book ratio of
20 students to 15 books or (4 students):(3 books). Penny Nom lui répond. |
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- 16 x 6 / -2 |
2011-09-09 |
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Nadiyah pose la question : i dont understand how to answer this question ;
- 16 x 6 / -2
i still dont understand it with bedmas
/ = divison
please help! Penny Nom lui répond. |
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A ratio as a fraction in lowest terms |
2011-08-12 |
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jonecia pose la question : write this ratio as a fraction in lowest terms 707days of 112days? Melanie Tyrer lui répond. |
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A rational number |
2011-05-17 |
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owais pose la question : according to definition of irrational number "a number which cannot be
expressed in p/q form is called irrational number"
square root of 2 is a irrational number but if i round off the digit correct
to two decimal places so it becomes 1.41 and we can easily convert
into p/q form so it is a rational number ??? Penny Nom lui répond. |
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Dividing the profits |
2011-04-19 |
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Tracy pose la question : I need to know how to come up with the answers to the following problems. I need to be able to show my work. So can you help me on how to come up with the answers to questions like these. Thanks.
Three individuals form a partnership and agree to divide the profits equally. X invests
$9,000, Y invests $7,000, Z invests $4,000. If the profits are $4,800, how much less
does x receive compared to having the profits divided in proportion to the amounts
invested by X, Y, and Z?
In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the
larger type, a printed page contains 1,800 words. Using a smaller type, a page contains
2,400 words. The article is allotted 21 full pages in a magazine. How many pages must be
in smaller type? ___________
thank you Penny Nom lui répond. |
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An antiderivative of the square root of (8t + 3) |
2011-04-19 |
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Caitlyn pose la question : I know how to take an antiderivative. But this one's stumping me. I need it to finish a problem.
What's the antiderivative of the square root of (8t + 3)
~Caitlyn= Penny Nom lui répond. |
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PEDMAS |
2011-04-10 |
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Ross pose la question : 48 ÷ 2 (9+3)
Is the answer 2 or 288? Harley Weston lui répond. |
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Administration costs and profit |
2011-04-05 |
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brian pose la question : Hi , If I have direct job costs of $100. and my administration is 20 % and I want to make a 15 % profit , how would I calculate the administration and profit and what would be the total of each be and also the final total?
Thanks,
Brian Penny Nom lui répond. |
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Calibrating a conical tank |
2011-02-05 |
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Bill pose la question : Hi, I have a round tank with tapered sides where I know the diameter at the top and bottom. Is there a formula I can use to calculate the volume by measuring from the bottom up the side (at the angle of the side) to any given point? Thanks, Bill Stephen La Rocque and Penny Nom lui répond. |
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Integrating ln^3x/x |
2011-01-14 |
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ken pose la question : y=ln^3x/x from x=1 to x=11 Penny Nom lui répond. |
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A geometric progression |
2010-12-15 |
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Abeth pose la question : find the value of x so that 2(x-1), x+3, x will be a geometric progression. Penny Nom lui répond. |
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A railway cut |
2010-12-12 |
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jade pose la question : the pennsylvania railroad found it necessary,owing to land slides upon the roadbed,to reduce the angle of inclination of one bank of certain railway cut near pittsburgh,pa.,from an original angle of 45 degrees to a new angle of 30 degrees. the bank as it originally stood was 200 ft.long and had a slant length of 60 ft.. find the amount of the earth removed, if the top level of the bank remained unchanged. Penny Nom lui répond. |
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The integral of (x^2*exp(x)/(exp(x)-1)^2 |
2010-08-09 |
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sujoy pose la question : please find this integral for me
int(x^2*exp(x)/(exp(x)-1)^2 Robert Dawson lui répond. |
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Ratios |
2010-08-06 |
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Ashleigh pose la question : Hi, I am dealing with ratios of me and 9 other students. I was wondering how you turn an arm span and height into a ratio? for example if a person has a height of 62 and an arm span of 63 what would the ratio be for that? Penny Nom lui répond. |
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A rational equation |
2010-08-02 |
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Bailey pose la question : 3/x
+
x/x+2
______
-2/x+2 Penny Nom lui répond. |
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1.2731568 |
2010-06-16 |
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angel pose la question : is 1.2731568 a natural number a whole number a irrational number or a inter Robert Dawson lui répond. |
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Who is more extravagant? |
2010-06-01 |
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likhitha pose la question : kunal and ramit have Rs.40 and Rs.50 respectively. Kunal spends
Rs.18 and ramit spends Rs.21.Who is more extravagant ? Penny Nom lui répond. |
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Integration of sin^3 (2x) |
2010-05-29 |
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ascher pose la question : how do you integrate this equation
∫ sin^3 (2x) dx Robert Dawson and Penny Nom lui répond. |
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Ratios and proportions with mixed units |
2010-05-13 |
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Kenneth pose la question : Is it incorrect to have a proportion with numbers containing units that are not the same on both sides of the equal sign?
Here is an example: $0.07/$1.00 = ?/$0.89 is okay, but if I add a different unit (20 ounces) to one side of the equal sign but not the same unit to the other, is the proportion incorrect?
$0.07/$1.00 = ?/$0.89/20 ounces.
In order to determine the missing amount, the calculation becomes ($0.07/$1.00)/$0.89/20 ounces = $?, but is this proportion correct with the units as they are?
Two dollar-units cancel leaving dollar/ounces equals $?/ounces, but is this correct? Robert Dawson lui répond. |
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A circle inscribed in a square inscribed in a circle |
2010-04-28 |
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jouniella pose la question : A square is inscribe to the first circle, then another circle is inscribe to the square. Find the ratio of the 2 circles. Penny Nom lui répond. |
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Rational root theorem |
2010-04-14 |
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deciree pose la question : How could i get the value of x with this equation:
1/13x^3+12x/13=1/2
Thank you! Harley Weston lui répond. |
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A geometric sequence |
2010-04-13 |
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glen pose la question : A geometric sequence has a first term of 0.1024, a second term of 0.256,
and a middle term of 156.25. how many terms are there in the whole
sequence?
i know that r=2.5 but i dont know how to find how many terms there are. Penny Nom lui répond. |
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Integrate the ((4th root of x^3)+1) dx |
2010-04-12 |
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Bridget pose la question : integrate the ((4th root of x^3)+1) dx Tyler Wood lui répond. |
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A rectangle problem |
2010-04-12 |
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Charlene pose la question : The ratio of the width to the length of a certain rectangle is equal to the ratio of its length to the difference between its length and twice its width. If the area of the rectangle is 25cm^2, then what are its dimensions? Present a non- algebraic solution? Tyler Wood lui répond. |
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Body measurements |
2010-04-06 |
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Amirul pose la question : Recently I'm proposing my research question to my teacher for my extended essay. I'm an IB student.
My research question is regarding the estimation of human in buying trousers through reference of neck. What does the relation between the diameter of the neck and the diameter of the waist?
I want to see how far does the estimation theory is true for different type of people with different BMI(body mass index)..
But teacher said that it is golden ratio...so nothing interesting... =(
really??? But i search on net.... state that my idea seems do not have any relation with the golden ratio so far..... i just want ask you... am I able to perform in my extended essay if i continue with this research question?? Robert Dawson lui répond. |
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A ratios problem |
2010-04-01 |
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Jules pose la question : 1a) If 2/3 of the boys and 3/4 of the girls at a party are dancing, what is the
ratio of boys to girls, if all the dancing couples consist of a boy
and girl?
b) If the total number of the boys and girls of the party is 153, how
many boys are at the party? Penny Nom lui répond. |
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The integral of X^3/the square root of 1-x^2 dx |
2010-03-07 |
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William pose la question : The integral of X^3/the square root of 1-x^2 dx. Harley Weston lui répond. |
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If 2 is to 55, then 6 is to ? |
2010-03-04 |
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patty pose la question : Example,
If 2 is to 55, then 6 is to ? How do I begin to figure this out, is is an algebra formula? Penny Nom lui répond. |
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A ratio |
2010-02-22 |
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manoj pose la question : in a dept there are 350 employees and in the other there are 158 find ratio Penny Nom lui répond. |
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A geometric sequence |
2010-02-22 |
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Kelsey pose la question : _, 2, _, _, 250, _
i don't know how to fill in the missing terms Penny Nom lui répond. |
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Fahrenheit and celcius |
2010-02-19 |
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Carol pose la question : Zack is packing for a trip to Scotland. He read that the average temperature in the Summer is 18degrees C during the day, and 7 degrees during the night. What is the difference between the high and low temperatures in degrees Fahrenheit? (F=9/5C=32) Lorraine Dame lui répond. |
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Integration of cos (x^2+y^2) dx dy |
2010-02-12 |
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anna pose la question : How do you evaluate the integration of integration of cos (x^2+y^2) dx dy? Tyler Wood lui répond. |
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Order of operations |
2010-02-07 |
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addie pose la question : (3+10) x 10 - 8 x 4 = Penny Nom lui répond. |
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An integral |
2010-01-29 |
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amr pose la question : find the value of the following integral:-
(1+x)power (-1/2) dx Robert Dawson lui répond. |
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(24x3)+(7x8)-(20/5)+(4x7) |
2009-12-01 |
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Marilyn pose la question : (24x3)+(7x8)-(20/5)+(4x7)
Thought I had the answer but the form says no. Could you solve it for me please. Penny Nom lui répond. |
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The base and height of a triangle are in the ratio of 3:2 |
2009-11-18 |
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Mike pose la question : Find the base and height of a triangle using the ratio 3:2 and an area of 108 inches square. Is there a formula we need to use?
Thanks
Mike Penny Nom lui répond. |
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Rationals |
2009-10-30 |
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Jawsh pose la question : I don't quite understand the whole idea of rationals.
If you have 3Squareroot 49. Is that equal to 3Squareroot 7^2?
Can you break it down with an example for me please. Robert Dawson lui répond. |
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Proof that the root of 27 is irrational |
2009-10-18 |
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Scarlet pose la question : How do you prove that the square root of 27 is irrational? Victoria West lui répond. |
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The integral of sqrt(x) * ln(x) |
2009-10-12 |
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Oana pose la question : Hi! Can you tell me please how much is : ∫ (√x * ln x) ? Penny Nom lui répond. |
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Integration of cos (x^2) dx |
2009-10-12 |
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Venkat pose la question : How do you evaluate the integration of cos (x^2) dx ? Harley Weston lui répond. |
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-4 squared and (-4) squared |
2009-09-29 |
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Andrea pose la question : Is -4 squared the same as (-4) squared? I am thinking the first is -16 and the second is +16. I am trying to clarify for my students. Penny Nom lui répond. |
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Evaluating -x^2 + (yz - 3)^2 |
2009-09-28 |
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Kathy pose la question : My daughter and I are having trouble solving this equation:
-x²+ (yz – 3)²
if x=-4,y=2 and z=0
We are having difficulty with the -x² part of the equation. Thanks Penny Nom lui répond. |
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Order of operations |
2009-09-24 |
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aman pose la question : my question is regarding the fact
i have a formula which looks like this :
(ratio 1 + ratio 2 divided by 2)
so my question is do i add first then divide by 2 or do it all together Penny Nom lui répond. |
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5 x 8 + 6 divided 6 - 12 x 2 |
2009-09-24 |
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Susan pose la question : 5 x 8 + 6 divided 6 - 12 x 2. I am not sure of the rules of operation for this type of question Penny Nom lui répond. |
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A calculation from a ratio |
2009-09-21 |
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Rob pose la question : How do I calculate the height of a rectangle that has is 16:9 from only the width?
For example a rectangle is 1000 wide, what is it's height if it is a 16:9 ratio? What is the formula? Harley Weston lui répond. |
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solve integral of ( x^2+x+1)^5 |
2009-09-18 |
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jaka pose la question : solve integral of ( x^2+x+1)^5 Robert Dawson lui répond. |
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Investing in four accounts |
2009-08-29 |
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Kenneth pose la question : Hello:
An investor wants to divide $1000.00 into four amounts or accounts -- one account earning 2%, the second account earning 5%, the third earning 9%, and the fourth earning 12%. He wants the overall total return to equal 5%.
What are some of the monetary amounts that can be invested into these four accounts to earn him the 5% total return, 5% of $1,000.00? Penny Nom lui répond. |
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The ratio of girls to boys in class is 4:3 |
2009-08-24 |
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Linda pose la question : The ratio of girls to boys in class is 4:3. Total of 35 students, how many more girls than boys? Penny Nom lui répond. |
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An antiderivative problem |
2009-08-13 |
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Indrajit pose la question : ∫4e^x + 6e^-x/(9e^x + 4e^-x)dx = Ax + Bloge(9e2x - 4) + C
then A=?......B=?.....C=?
plz solve it...."^" stands for "to the power of".... Harley Weston lui répond. |
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root 2 is irrational |
2009-07-31 |
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prateet pose la question : prove that root2 is an irrational number. Robert Dawson lui répond. |
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The integral of x^x |
2009-06-18 |
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ANGIKAR pose la question : what would be the integration of (X^Xdx)?
give answer in details. Robert Dawson and Harley Weston lui répond. |
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Number & Operation Puzzle |
2009-06-12 |
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Francine pose la question : How can I get the number 26 using 1,2,3,4,&5 and using addition, subtraction, multiplication and division. Each operator and digit must be used exactly once. My son presented me this question and I can't determine if it's even possible. Janice Cotcher lui répond. |
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Properties of Inequality |
2009-06-05 |
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Nazrul pose la question : We know that if a>b then (1/a)<(1/b)
But why 5> -2 implies (1/5)>(1/-2) .
Thank you in advance for your help. Robert J. Dawson lui répond. |
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Equivalent fractions |
2009-05-22 |
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Jocelyn pose la question : give two other ratios that are equal to each
example: 6/9 Penny Nom lui répond. |
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The ratio 3 to 4 to 5 |
2009-05-19 |
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Josey pose la question : The perimeter of a right triangle is 42 inches. If the lengths of the sides of the triangle are in the ratio 3 to 4 to 5, what are their lengths in inches? Penny Nom lui répond. |
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Hens and roosters |
2009-05-16 |
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Rogerson pose la question : In a certain poultry farm, the ratio of the number of hens to roosters is 3:5. If 15 new roosters are added, a third of the farm will be compose of hens. Find the original number of chickens. Stephen La Rocque lui répond. |
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A geometric progression |
2009-05-16 |
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sweta pose la question : find the ratio of GP if the first term is 1 and the sum of third and fifth term is 90. Penny Nom lui répond. |
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The integral of a to power x squared |
2009-04-28 |
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JIM pose la question : WHEN I ATTENDED U.OF T. (TORONTO ) MANY YEARS AGO
WE WERE TOLD THE FOLLOWING INTEGRAL COULD NOT BE
SOLVED : a to power x squared . is this still true ?
CURIOUS , JIM Robert Dawson lui répond. |
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Two similar rectangles |
2009-04-19 |
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Alyssa pose la question : The ratio of the lengths of corresponding sides of two similar rectangles is 3:5. the small rectangle has an area of 36 square centimeters. What is the are of the large rectangle? Penny Nom lui répond. |
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The integral of the square root of the sine function |
2009-04-07 |
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Indrajit pose la question : how to integrate this derivative???
∫√sinx Harley Weston lui répond. |
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Depth to height ratio |
2009-03-26 |
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Janet pose la question : Is there a formula to determine how deep something (a cabinet) should be based on how tall it is? Robert Dawson lui répond. |
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A 1.5:1 rectangle |
2009-03-23 |
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melody pose la question : I have an origami model that says to use a 1.5:1 rectangle. I don't understand how to calculate the size of paper I need to use. Surely there is a formula to calculate this ratio? Thanks for your help. Penny Nom lui répond. |
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The ratio of the volumes of two cylinders |
2009-03-18 |
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jdkaj pose la question : cylinder a has radius 1m and height 4m. cylinder b has radius 2m and height 4m. find the ratio of the volue of cylinder a to the volume of b Penny Nom lui répond. |
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The ratio test |
2009-03-06 |
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Haley pose la question : Use the ratio test to determine whether the series in convergent or divergent.
(2/5)+(4/10)+(8/15)+... Harley Weston lui répond. |
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Augmented matrix: independent, dependent, or inconsistent? |
2009-02-23 |
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Anna pose la question : Perform row operations on the augmented matrix as far as necessary to determine whether the system is independent, dependent, or inconsistent.
x + y + z = 11
x - y + 3z = 5
2x + 2y + 2z = 15 Harley Weston lui répond. |
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The area between the x-axis and a curve |
2009-02-18 |
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Lauren pose la question : This is from a homework question I can't figure out.
Let R be the region in the fourth quadrant enclosed by the x-axis
and the curve y= x^2 - 2kx, where k > 0. If the area of the region R is 36
then what is the value of k? Robert Dawson lui répond. |
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A goat in a square paddock |
2009-02-10 |
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lachlan pose la question : A farmer uses a rope to tether a goat to a pole at the corner of a square paddock. The length of one side of the square is 24m.
a) If the length of the rope is 12m,what % of the paddock can the goat reach? is the answer 19.62 %?
b) If the farmer wants the goat to be able to graze exactly half the area of the paddock, what length must the rope be? Penny Nom lui répond. |
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A falling object |
2009-02-01 |
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Tamara pose la question : We drop an object from rest (i.e. its initial spped is zero. It is falling freely toward the ground. What will be its speed after 5 seconds of falling? Penny Nom lui répond. |
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What will be its speed after 10s? |
2009-02-01 |
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Tamara pose la question : An object has an initial speed of 5 m/s and is accelerating with 2 m/s2 (m/s squared) acceleration. What will be its speed after 10s? Penny Nom lui répond. |
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The Golden Ratio |
2009-01-20 |
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Vincent pose la question : hello, my name is Vince,
I am wondering how the Golden ratio was used by early mathematicians.
What formula did they use to find it? open for anything... thank You! Robert Dawson lui répond. |
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The integral of f(x)dx and the integral of f(x-4)dx |
2009-01-02 |
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Katie pose la question : Calculus:
If the definite integral from -2 to 6 of f(x)dx=10 and the definite integral from 2 to 6 of f(x)dx=3, then the definite integral from 2 to 6 of f(x-4)dx= ?
I don't understand how to solve definite integrals when the function has something more than just x inside the parenthesis such as f(4-x). Robert Dawson lui répond. |
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Solution Concentration |
2008-12-06 |
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Manjola pose la question : I mixed 100 ml of 28% Ammonium nitrate, with 100 mL of 68% nitric acid. What is the concentration of the resulting solution?
Thank you Janice Cotcher lui répond. |
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Graphing Rational Functions |
2008-12-05 |
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Bahra pose la question : The question in my homework is: Find all vertical, horizontal, and slant
asymptotes, x- and y-intercepts, and symetries, and then graph each
function. Check your work with a graphing calculator.
y=3/x+3 meanng: ( y= 3 over x+3) Janice Cotcher lui répond. |
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Evaporation of waste water |
2008-11-21 |
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Alexandra pose la question : Engineers know that the amount of water lost due to evaporation
is directly proportional to the surface area of the holding tanks and
that the local climate causes water to evaporate at the rate of about
gallon of water per hour for each square foot of water exposed to
the air. About how many total gallons of waste water may enter the
three tanks each day to maintain full capacity?
I know that the answer is 50x10^3 but i don't know why. Penny Nom lui répond. |
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A ratio to a decimal |
2008-11-14 |
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manny pose la question : Express 22 : 5 as a decimal. Round to the nearest hundredth Penny Nom lui répond. |
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Antiderivative of 1/(x(1 - x)) |
2008-10-22 |
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Matt pose la question : derivative of dx/(x(1-x))
From what I've seen I should break apart the equation as such
derivative of dx/x - dx/(1-x)
and then get the 2 corresponding log functions.
If that is correct why does this factoring work, if that is incorrect what is the proper way to find the derivative. Harley Weston lui répond. |
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Scaling a logo |
2008-10-20 |
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Carl pose la question : Hello!
I hope that you can help me out here. I've been trying to figure this out for awhile now and can't come up with the answer logically.
I am a graphic designer by trade and need to figure out how large my client's logo should be.
The logo will need to be sized proportionally with the surface area of the page.
The logo will always be sized at 1.2938(w) x .75(h) on a letter size page (8.5 x 11).
My question is...
When you increase the size of the page (not always proportionally sized - dimensionally) how do figure out the NEW size of the logo.
I could have a page 20" x 40" or 30' x 4'... or ANY size really.
I believe I have the new surface area of the logo but can't find the new dimensions. Harley Weston lui répond. |
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The ratio of two chemicals |
2008-10-20 |
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Nathan pose la question : if there is a chemical mixture of 5:2 and the total amount of the entire solution is 1400 gallons, how many gallons make up the stronger side of the solution? I believe the answer is 1,000 but I figured it out in a non-traditional way so I wanted to understand the basic formula used to determine these types of questions.
thank you Penny Nom lui répond. |
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A ratio problem with cookies |
2008-10-18 |
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nadha pose la question : SAMANDHA,AMANDHA AND NICOLE sold some cookies in the ratio 3:4:7
how many more cookies did AMANDA and NICOLE sell than SAMANTHA if NICOLE had sold 91 cookies? Penny Nom lui répond. |
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Using the augmented matrix |
2008-10-17 |
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Karlena pose la question : I am supposed to write the augmented matrix of the system and use the matrix method to solve the system. I must show my work algebraically
x+y+2z=30
2x+3y+2z=53
x+2y+3z=47 Harley Weston lui répond. |
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Integration |
2008-10-17 |
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hazela pose la question : integration of
x sinx cosnx Harley Weston lui répond. |
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Algebraic fractions |
2008-10-06 |
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Kayla pose la question : (x^2-9)/x times (x^3-4x)/(x^2+5x+6) Harley Weston lui répond. |
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Three equal ratios |
2008-09-26 |
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Jodi pose la question : For the ratio given, find three equal ratios: 2 miles/8 minutes Penny Nom lui répond. |
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Art and Integers |
2008-09-17 |
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pamela pose la question : how do artists use integers? Janice Cotcher lui répond. |
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An associative binary operation |
2008-09-08 |
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Skye pose la question : Suppose that * is an associative binary operation on a set S. Show that the set H={a E S such that a*x=x*a for all x E S} is closed under *. (We think of H as consisting of all elements of S that commute with every element in S.)
Thanks! Harley Weston lui répond. |
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Is this operation associative? |
2008-09-06 |
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Francesca pose la question : Determine whether the binary operation * defined is commutative and whether * is associative
* defined on Z by a*b = a-b\
I understand how to figure out if it's commutative, but I thought for a binary operation to be associative, it had to have at least three elements, so I don't know how to tell if this associative or not. Penny Nom and Victoria West lui répond. |
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The lengths of the sides of a rectangle are in ratio 5:3 |
2008-08-29 |
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todd pose la question : the lengths of the sides of a rectangle are in ratio 5:3 the perimeter of the rectangle is 32 cm find the length of each side Stephen La Rocque lui répond. |
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A water acid mixture |
2008-08-19 |
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Sulagna pose la question : A chemical solution is made by mixing an acid with water in the ratio 1:24.
This solution is then taken and mixed with water in the ratio 1:3. How much acid
would be there in 200ml of this final solution? Penny Nom lui répond. |
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BEDMAS |
2008-08-12 |
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Rebecca pose la question : I have 3 questions.
1) I don't really understand BEDMAS.Im going in to the 6th grade and im
kind of nervis about it.?
2)When you're doing BEDMAS what does the small 3 or 2 above the
other numerals mean?
3)How would you answer this:5+2 x 9 - 9 x 12= ?? Janice Cotcher lui répond. |
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Non-terminating, non-repeating decimals |
2008-08-03 |
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Peter pose la question : How do you take a random, non-terminating, non-repeating decimal into a fraction? Stephen La Rocque lui répond. |
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Integral of X^2 |
2008-07-28 |
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Hemanshu pose la question : Integral of X^2 Janice Cotcher lui répond. |
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Time with Non-Uniform Motion |
2008-07-21 |
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jenina pose la question : An unmarked police car, travelling a constant 95km/h, is passed by a speeder travelling 145km/h. precisely 1.00s after the speed passes, the policeman steps on the accelerator. If the police car’s acceleration is 2.00m/s², how much time elapses after the police car is passed until it overtakes the speeder (assumed moving at constant speed)? Janice Cotcher lui répond. |
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Rational numbers |
2008-07-16 |
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hinal pose la question : list 12 rational numbers which lie between
a) -1 and 0
b) -3 and -3 Penny Nom lui répond. |
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Fish in a pond |
2008-06-28 |
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Peter pose la question : At the beginning of a study 24 fish are caught, tagged, and released back into a large pond containing fish. A few days later, 19 fish are caught from the pond and three of them have tags. Using this ratio, how many total fish would you expect to be living in the pond?
The answer is 152. Why is that? Leeanne Boehm lui répond. |
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Geometric sequences |
2008-06-08 |
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Rita pose la question : A geometric sequence is given. Find the common ratio and write out the first four terms.
(1) {(-5)^n}
(2) {(2^n)/(3^(n - 1)} Penny Nom lui répond. |
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The volume of a solid |
2008-06-04 |
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Tom pose la question : The base of a certain solid is a circle of radius 2 while cross sections perpendicular to the
base are isosceles triangles of height 1. What is the volume of the solid? Harley Weston lui répond. |
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Throwing a ball on the moon |
2008-05-21 |
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leria pose la question : equation for motion of moon is h=2.67t^2 + vt + s
equation for earth h=-16t + vt + s
Suppose you are on an outpost on the moon and Jan is back on Earth. Both people toss a ball from a height of 96 feet with an initial velocity of 16 feet per second. How much longer will your ball stay in motion on the moon than Jan's on the earth?
Math Central,
I'm having a difficult time understanding which numbers to plug into the formula. Stephen La Rocque lui répond. |
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The weight of a concrete column |
2008-05-11 |
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russell pose la question : a cylindrical form is filled with a slow curing concrete. The base of the form
is 10 ft in radius, and height is 25 ft. while the concrete hardens, gravity
causes the density to vary from a density of 90 lbs/ft^3 at the bottom to a
density of 50 lb/ft^3 at the top. Assume that the density varies linearly
from the top to the bottom, and compute the total weight of the resulting
concrete column Harley Weston lui répond. |
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How can the distance between two points be irrational? |
2008-05-07 |
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Dawn pose la question : Yesterday my advanced 7th grade pre-algebra students were finding the distance between two points on a coordinate grid using the distance formula. A student asked me how come we or math I guess is able to represent a finite distance with an irrational number. I found this to be a very interesting question. I and the 7 other math teachers on my staff had discussed this and we have a variety of thing to say to the kid, but nothing that amounts to an actual answer. The students have studied what it means for a number to be irrational, and they cannot understand how that can "measure" a line that obviously stops. Got any suggestions? Stephen La Rocque, Penny Nom, Claude Tardif and Victoria West lui répond. |
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1/3-5/6=1/x, solve for x |
2008-05-01 |
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Lavada pose la question : 1/3-5/6=1/x How do I solve this problem. Penny Nom lui répond. |
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The ratio of their perimeters to two regular hexagons |
2008-04-29 |
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td pose la question : Two regular hexagons have areas of 54 square root of 3 and 150 square root of 3, what is the ratio of their perimeters? Stephen La Rocque lui répond. |
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Adding rational functions |
2008-04-29 |
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Jonathon pose la question : 1/(x+3) + 1/(x^2+5x+6) = Penny Nom lui répond. |
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A circle inscribed in a triangle |
2008-04-26 |
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Amar pose la question : I have been given a circle inscribed in a triangle and have been told to prove that the ratio of the perimeter of the triangle to the circumference of the circle is the same as the ratio of the area of the triangle to the area of the circle. How would this be done? Stephen La Rocque and Walter Whiteley lui répond. |
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At what value of t is the maximum acceleration? |
2008-04-25 |
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Mary pose la question : Velocity of a function (which is the first derivative of its position) is defined over the interval 0 to 12 using the following piecewise function: v(t)=-1 from 0 to 4, v(t)=x-5 from (4 to 8 and v(t)=-x+11 from (8 to 12. At what value of t is the maximum acceleration? Stephen La Rocque lui répond. |
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Why does -2^2 = -4 when -2 * -2 = 4? |
2008-04-22 |
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blaine pose la question : Why does -2^2 = -4 when -2 * -2 = 4? Penny Nom lui répond. |
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Ratios and fractions |
2008-04-20 |
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Alissa pose la question : What is the formula for writing the ration of two numbers as a fraction? Leeanne Boehm lui répond. |
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Simplify 5x^5/8 / 15x^2/12 |
2008-04-18 |
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Kyler pose la question : 5x^5/8 / 15x^2/12 Divide the rational expressions. Simplify the results. Penny Nom lui répond. |
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Integrate 2x(x^2-1)^5 dx |
2008-04-17 |
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joey pose la question : pls help me to integrate
2x(x^2-1)^5 dx using the substitution u=x^2-1 Harley Weston lui répond. |
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2500mL of Phosphoric acid |
2008-04-09 |
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Trina pose la question : If I have 2500mL of Phosphoric acid that has a fluoride concentration of 0.91% and need to increase it to 1.40% how much 49% HF do I need to add? Harley Weston lui répond. |
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The integral of dx / (4x^2 - 25)^3/2 |
2008-04-01 |
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Meghan pose la question : I have a question from the trigonometric substitution of my calculus course.
integral of dx / (4x^2 - 25)^3/2 Harley Weston lui répond. |
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Is this an irrational number? |
2008-03-22 |
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Tom pose la question : Is it possible to build an irrational number with numbers that are just 1's and 2's where only finitely many 2's appear? If so, how do we build it and how do we know it is irrational? Penny Nom lui répond. |
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How would I graph: x - 2 divided by x^2 - 4? |
2008-03-19 |
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Sean pose la question : How would I graph: x - 2 divided by x^2 - 4 using a method in extreme values of
functions or completing the square
x - 2/ x^2-4 Stephen La Rocque lui répond. |
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A width-to-length ratio of 2 : 3 |
2008-03-11 |
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Stephanie pose la question : The national flag of France has a width-to-length ratio of 2 : 3. What is the width of an 18-inch long French flag? Penny Nom lui répond. |
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Two points moving on a straight line |
2008-03-06 |
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laura pose la question : Particle A travels at constant speed of 1.0ms-1 in straight line, passing particle B, at which time particle B beings traveling with constant acceleration of 0.2ms-2 until reaching Particle A.
What equations represent the displacement of particle A and particle B measure from the point they first pass?
How long does it take for particle B to catch up with particle A?
What is the speed of particle B when reaching particle A?
What distance have both particles traveled from where they first pass to where they meet again?
Calculate the displacement of both particle A and B at 2 second intervals between t=0s and t=12s? Stephen La Rocque and Penny Nom lui répond. |
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Integrate (4+x^2) / (x (2+x)^2) |
2008-02-25 |
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Russell pose la question : integrate (4+x^2) / (x (2+x)^2)
I really need to know the steps involved in doing this integral, I already have
the answer through wolfram integrator but for some reason can not
get to the answer given. Please help Harley Weston lui répond. |
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cos(2x)=(cos x)^2- (sin x)^2 |
2008-02-25 |
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azarnia pose la question : comment démontrer que : cos(2x)=(cos x)²_(sin x)² Maxime Fortier Bourque lui répond. |
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10 - 3 + 2 |
2008-02-21 |
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Amrit pose la question : what 10-3+2
is it 5 or 9 Penny Nom lui répond. |
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Two regions with equal area |
2008-02-13 |
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James pose la question : There is a line through the origin that divides the region bounded by the parabola y=3x-5x^2 and the x-axis into two regions with equal area. What is the slope of that line? Harley Weston lui répond. |
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For the Canadian flag, the ratio of width to length is 1:2. |
2008-02-12 |
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Kelly pose la question : For the Canadian flag, the ratio of width to length is 1:2.
What is the perimeter of a Canadian flag that is 12 ft. long?
Are all Canadian flags similar shapes? Explain with a diagram. Penny Nom lui répond. |
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How much tax does Zoe have to pay? |
2008-02-11 |
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Kelly pose la question : Rahsad pays $6.30 tax for a pair of shoes that is priced at $45.
His friend Zoe purchases another pair of shoes on sale for $25 in the same store.
How much tax does Zoe have to pay?
Solve the problem in two ways. Show your work.
What assumptions did you make? Penny Nom lui répond. |
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Numbers and Operations |
2008-02-02 |
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Charlotte pose la question : On the TABE (Test for Adult Basic Education) test, one of the categories
is number operation. I would like to know what consist of number operation. Penny Nom lui répond. |
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Integration by parts |
2008-01-30 |
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seth pose la question : hi i really dont understand integr
ation by parts. for example, the integral(t^2sintdt. i have u=t^2 and v'=sint also u'=t^/3 v=-cost
for the formula i have uv-integralvu' dx this is all well and good but i cant get it right. Harley Weston lui répond. |
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How far from the corner will the police catch the car? |
2008-01-27 |
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Joel pose la question : A car is going down the road at a speed of 90km/h in a 50km/h zone.
As the car passes a corner, a police cruiser sitting there notices it. Five
seconds later the cruiser begins accelerating at 5.0m/s squared.
Assuming that he is able to maintain this acceleration, how far from the
corner will the police catch the car? How fast will the cruiser be going? Stephen La Rocque lui répond. |
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How do I convert mcg to ml? |
2008-01-27 |
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David pose la question : How do I convert mcg to ml? Stephen La Rocque lui répond. |
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The integral of Sqrt(sin x) |
2008-01-24 |
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tariq pose la question : find integration
Sqrt(sinx) dx , from x=bi/4 to 3bi/4 Harley Weston lui répond. |
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An integral |
2008-01-24 |
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Meghan pose la question : Evaluate the indefinite integral of (x^3 +1)^(1/3) * x^5 * dx. Brennan Yaremko lui répond. |
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Integration |
2008-01-23 |
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Russell pose la question : how to integrate
1/x ln^2 [x] dx Harley Weston lui répond. |
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Simplify 63:77 |
2007-12-12 |
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Selah pose la question : Simplify 63:77 Penny Nom lui répond. |
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The rational root theorem |
2007-12-09 |
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Josh pose la question : Prove the rational root theorem (where, in a polynomial equation, all
factors of the constant divided by all factors of the leading coefficient
are possible rational roots of the equation). Penny Nom lui répond. |
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What would be the cost of a 10 in * 15 in canvas? |
2007-12-01 |
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Jasmine pose la question : a 40in *60 in canvas is sold for $60.00 if the price is determined by the cost of the material what would be the cost of a 10 in * 15 in canvas Stephen La Rocque lui répond. |
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The scale of a picture |
2007-11-30 |
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Sylvia pose la question : 1. A artist draws a picture of a house with a rose brush in front. In his picture the rose brush is 1.5 cm high and the house is 7.5 cm high. In reality the rose brush is 0.75 m high. How tall is the house in reality (in meters)? Explain
2. There are six short pieces of link chain. Each having four links. It takes 10 sec to cut a link and 25 sec to weld it back together. What is the shortest possible time to make the longest chain? Explain Penny Nom lui répond. |
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An augmented matrix |
2007-11-29 |
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Beth pose la question : I am having troubles fiinding this augnmented matrix. I know how to do it
but everytime i do it it get a different answer and its not the right answer.
Could you help me to make sure I do it right?
Here is the problem:
4x - 3y = 5
2x +9y = 6 Harley Weston lui répond. |
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(32-2 x 5) divided by 2 + 8 |
2007-11-28 |
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Kim pose la question : Solve
(32-2 x 5) divided by 2 + 8 Leeanne Boehm lui répond. |
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Two integrals |
2007-11-09 |
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Akilan pose la question : how to integrate these (tan x)^6(sec x)^4 and sinh(x)(cosh(x))^2.
Please send me how to do this question. Having exams on Monday. Please help. Harley Weston lui répond. |
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Ratios |
2007-11-07 |
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Barbara pose la question : There 100 cars in lot A and 20 in lot B, after the attendant moved 20 cars from lot A into lot B. what was the ratio number of cars in A to the number of cars in lot B? Penny Nom lui répond. |
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What is a rational number between -5.9 and -6? |
2007-11-06 |
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cathy pose la question : What is the rational number between -5.9 and -6? Penny Nom lui répond. |
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An irrational number |
2007-10-29 |
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Clara pose la question : Find an irrational number between 0.53 (with 53 as repeating)
and 0.54 (with 54 repeating)
I changed each to 53/99 and 54/99 with 1/99 being the difference.
Please help me. Stephen La Rocque, Penny Nom and Harley Weston lui répond. |
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Constantly accelerated motion |
2007-10-29 |
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Priyanka pose la question : A, B and C are three points lying in that order on a straight line. A body is
projected from B towards A with speed 3 m/s. The body experiences an
acceleration of 1 m/s^2 towards C. If BC =20 m, find the time taken to reach C and
the distance travelled by the body from the moment of projection until it reaches C. Stephen La Rocque lui répond. |
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Order of operations |
2007-10-17 |
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Devon pose la question : What function precedes the other? ie; 18 - 4 x2 = Penny Nom lui répond. |
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15 divided by 5a |
2007-10-12 |
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Susan pose la question : Is "5a" considered an expression to be solved first, or do you simply go in PEMDAS order with the 15 divided by 5 in the following problem: Evaluate when a = 2 15 divided by 5a Penny Nom lui répond. |
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Simplifying algebraic expressions |
2007-10-09 |
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Sakeena pose la question : (2^2*3)^x+1/2^2x*3x Stephen La Rocque lui répond. |
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Simplifying rational expressions |
2007-10-09 |
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Bama pose la question : x(x-2)+1 divided by x^2-3x+2 Stephen La Rocque lui répond. |
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Subtracting rational expressions |
2007-10-09 |
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Pamela pose la question : Subtract:
6p – w __ 4c + p
w – 4 w – 4
Stephen La Rocque lui répond. |
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Solving arithmetic problems in the right order (BEDMAS) |
2007-10-05 |
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Kim pose la question : 3+4x2-(10 divided by 5)= what? Penny Nom lui répond. |
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Gas and oil at a 50:1 ratio |
2007-10-03 |
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Cindy pose la question : How much gas and oil do you put in a 1.7 litre jug at a 50:1 ratio? Stephen La Rocque lui répond. |
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Irrational functions |
2007-10-01 |
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alicia pose la question : i have a question about irrationals functions.
i have been using them quite some time now, but i wonder where they can be found in daily life?
i hope you can help me, Harley Weston lui répond. |
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A fraction that cannot be simplified |
2007-09-17 |
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Kevin pose la question : Make a fraction that cannot be simplified and has 24 as its denominator? Stephen La Rocque and Chris Langdon lui répond. |
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The ratio of arm span to height |
2007-09-17 |
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Chandler pose la question : I am doing ratios and I was wondering if... well let me explain first. I have data on the arm span and heights of 10 students including myself now i have my measurements of me are 66inches arm span. and 66 inches height. my second piece of data is 71 inches arm span and 67 inches height now my ratio is 71:67 right? i thought i would need to simplify. but i cant really simplify this ratio and these numbers. what do I do? Stephen La Rocque lui répond. |
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Fractions, ratios and percentages all mixed together |
2007-08-29 |
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Charon pose la question : Example: x : 1/4% :: 9 3/5 : 1/200 Stephen La Rocque lui répond. |
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The irrationality of PI |
2007-08-07 |
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Matthew pose la question : I have what I like to think of as a rather interesting question that I can't explain confidently for the life of me.
If we take a circle with a radius of 1 and we calculate the circumference, we can use 2 pi R.
Doing this calculation results in a circumference of 6.28318530717~ which goes on forever.
However, if you were to take a that same circle in the real world, say with radius 1cm and wrap a string around
it, and then measure the string, you don't get 6.28~, you get something like 6.2, a much more finite distance. The length
of the string is not an irrational number, like the math claims it to be. Claude Tardiff and Stephen La Rocque lui répond. |
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A binary operation |
2007-07-31 |
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sofia pose la question : Prove that if * is associative and commutative binary operation on a set S, then
(a*b)*(c*d) = [(d*c)*a]*b
for all a,b,c,d element in S. Assume the associative Law only for triples as in the definition that is, assume only
(x*y)*z = x*(y*z)
for all x,y,z element in S. Penny Nom lui répond. |
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Binary operations |
2007-07-30 |
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jim pose la question : prove or disprove:
Every binary operation on a set consisting of a single element is both commutative and associative.
Penny Nom lui répond. |
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Three pipes of varying diameters |
2007-06-29 |
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JYOTI pose la question : three pipes of varying diameters can fill the vessels of 1,2,and 3 L in 4,18,and 48 min respectively. what is the ratio of their diameters?(assume that speed of the flow is same in all the cases) Sue Dunham lui répond. |
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Using Heron's Formula to help maximize the area of a triangle |
2007-06-27 |
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Claire pose la question : Given one side of a triangle is 4 cm and the ratio 1:3 for the other 2 sides. What is the largest area of the triangle? Stephen La Rocque and Harley Weston lui répond. |
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Simplifying a quartic rational expression using long division |
2007-06-14 |
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Megan pose la question : x+2/12x^4+17x^3+0x^2+8x-40= Stephen La Rocque and Penny Nom lui répond. |
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Circumscribing a golden cuboid with a sphere: surface areas |
2007-06-14 |
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Ainslie pose la question : A golden cuboid is defined as a rectangular prism whose length, width and height are in the ratio of phi : 1 : 1/phi.
Prove that the ratio of the Surface Areas of the golden cuboid to that of the sphere that circumscribes it is Phi : Pi. Stephen La Rocque lui répond. |
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Rational polynomial expressions |
2007-06-09 |
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a student pose la question : I have a question that continues to lead me to the answer x/(x - 1) but according to my math book, the answer should be 1/(x - 1).
Who is right? Who is wrong?
Here is the question:
(x^2 - 6x - 27)/(x^2 - 11x + 18) DIVIDED by (x^3 + 2x^2 - 3x)/(x^2 - 2x) Stephen La Rocque lui répond. |
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Repeating decimals and rational numbers |
2007-05-31 |
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lil pose la question : Why are repeating decimals considered rational numbers? Penny Nom and Gabriel Potter lui répond. |
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The limit of a rational function |
2007-05-28 |
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Imad pose la question : 3 _______ 3 _______
lim \/ 1 + x - \/ 1 - x
x->0 ---- ----------------------------
x Penny Nom lui répond. |
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Positive rational numbers |
2007-05-22 |
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Rebecca pose la question : What is the definition of positive rationals/positive rational numbers? Stephen La Rocque lui répond. |
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Simplifying a rational expression |
2007-04-29 |
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Tamika pose la question : X^2 + 10X + 24
______________
X + 6
SIMPLIFY EACH RATIONAL EXPRESSION (IF YOU CAN'T SIMPLIFY IT, WRITE ALREADY SIMPLIFIED) Stephen La Rocque lui répond. |
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Producing chocolate bars |
2007-04-26 |
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anne pose la question : If you have to produce an average of 114 bars of chocolate over 7.5 hours how many do you have to produce over 9.5 hours. Penny Nom lui répond. |
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The speed at which the conveyor moves |
2007-04-17 |
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Sheila pose la question : I am trying to figure out the speed (ft/min) of a conveyor.
It has a 1HP, 1200 RPM motor with a reducer that has a ratio of 60:1.
My reducer sprocket pitch diameter is 7.027 and my drive sprocket pitch diameter is 11.474.
How do I use this information to find the speed at which the conveyor moves? Stephen La Rocque lui répond. |
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Lowest terms |
2007-04-17 |
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Dawn pose la question : For some reason, I have a hard time with Ratio and/or rate problems.
My problem is as follow: Write each rate or ratio as a fraction in lowest
terms. 6 days to 39 hours Stephen La Rocque lui répond. |
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Write each rate or ratio as a fraction in lowest terms |
2007-04-17 |
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Dawn pose la question : Write each rate or ratio as a fraction in lowest terms.
$59.00 for 231 minutes Stephen La Rocque lui répond. |
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The second derivative |
2007-04-14 |
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Gerry pose la question : In mathematical context,what do you understand by the term "Second Derivative" Penny Nom lui répond. |
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The sum of two rational numbers |
2007-04-04 |
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Fathia pose la question : Hi,
Could please help me with this question?
Prove that if a and b are rational numbers then a + b is a rational number.
Thank you, Stephen La Rocque lui répond. |
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Adding and Subtracting Rational Expressions |
2007-03-21 |
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Pricilla pose la question : Pricilla
I do not know how to do this problem. Don't know where to start.
[(5)/(2x-8)]+[(3x^2+15)/(x^3-4x^2+5x-20)] Stephen La Rocque lui répond. |
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How long does she have to get out of the way? |
2007-02-23 |
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Sharon pose la question : How do I solve this? The height h (in feet) of an object that is dropped from the height of s feet is given by the formula h = s - 16t^2 , where t is the time the object has been falling. A 6 foot tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from the 6 story. How long does she have to get out of the way? Round to the nearest tenth. (A story is 12 feet.) Penny Nom lui répond. |
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The size of a TV screen |
2007-02-22 |
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katie pose la question : The ratio of height to width for a tv screen is 9 to 16. How high is a screen that is 30 in. wide? I don't know how to work this, we have to show our work. Gabriel Potter and Penny Nom lui répond. |
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Acceleration |
2007-02-20 |
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thomas pose la question : Don't know if this service still exists. ACCELERATION CALCULATION initial vel 0km/hr final vel 24km/hr time 3s Stephen La Rocque lui répond. |
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Grams/milliliters |
2007-02-19 |
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Keshia pose la question : If there are 27 grams of sugar in 240 mililiters, How many grams are in 100 mililiters? I have been trying to figure this question out for about an hour and I cannot seem to get it. Thank you for your help. Chris Fisher and Haley Ess lui répond. |
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A person jumps from the roof of a house |
2007-02-13 |
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Jessie pose la question : A person jumps from the roof of a house 3.9m high. When he strikes the ground below, he bends his knees so that the torso decelerates over an approximate distance of 0.70m. If the mass of his torso (excluding legs) is 42kg, find a) his velocity just before his feet strike the ground , and b) the average force exerted on his torso by his legs during deceleration.
Please provide calculations and answers for comparison. Stephen La Rocque lui répond. |
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Integration |
2007-02-02 |
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Jenna pose la question : How do I integrate ( ln(x) ) / ( x^2 ) ? Penny Nom and Claude Tardif lui répond. |
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Freefalling objects |
2007-01-25 |
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Patricia pose la question : How long will it take a stone dropped from atop a 1000-meter tall building to reach the ground? Stephen La Rocque lui répond. |
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Is -2^2 = -4 or 4? |
2007-01-23 |
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Joan pose la question : Is -2 squared, when written without parentheses around the -2, -4 or could this correctly be solved by squaring -2 (-2 x -2) for an answer of 4? Or, to correctly get an answer of 4, would the problem have to read (-2) squared? Stephen La Rocque lui répond. |
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Ratios |
2007-01-22 |
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Evan pose la question : David's company has 300 employees. The ratio of men to women is 4 : 6 . After hiring 60 new people with a 4 : 1 men to women ratio, what is men to women ratio in David's company now? Stephen La Rocque lui répond. |
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Answer to skill testing question |
2007-01-18 |
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Mike pose la question : This question was on a ballot. Is the right answer 36 or 1? 5+2-1X6= Stephen La Rocque lui répond. |
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how do i find ratio of 1,000mm to 5m |
2007-01-18 |
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Harry pose la question : how do i find ratio of 1,000mm to 5m Paul Betts lui répond. |
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Two consecutive angles of a parallelogram |
2007-01-17 |
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Veronica pose la question : The measures of two consecutive angles of a parallelogram are in the ratio 9:11. Find the measure of each angle. Penny Nom lui répond. |
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The volume of a frustum of a pyramid |
2007-01-17 |
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Sam pose la question : Find the volume of a frustum of a pyramid with square base of side b, square top of side a, and height h. Penny Nom lui répond. |
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How much lemon oil do you need to make 10.15L of polish? |
2007-01-16 |
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Sajad pose la question : to make an environmentally safe furniture polish, you can combine lemon oil and mineral oil in the ratio 3:200, by volume. How much lemon oil do you need to make 10.15L of polish? Penny Nom lui répond. |
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Throwing a stone downwards |
2007-01-12 |
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Momo pose la question : a stone is thrown vertically downward with an initial speed of 14m/s from a height of 65 m above the ground. A) how far does the stone travel in the first 2.0 s? B) what is the stone velocity just before it hits the ground? Stephen La Rocque lui répond. |
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Integrate x^8 (x^8 + 2)^2 ((x^8 + 2)^3 + 1)^4 |
2007-01-09 |
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James pose la question : How do you integrate x^8 (x^8 + 2)^2 ((x^8 + 2)^3 + 1)^4 Penny Nom lui répond. |
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13.78g /11.3mL |
2007-01-05 |
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Judd pose la question : 13.78g /11.3mL Penny Nom lui répond. |
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Prove that square root of 3 is irrational. |
2006-12-21 |
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Humera pose la question : Prove that square root of 3 is irrational. Stephen La Rocque lui répond. |
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Equal ratios |
2006-12-13 |
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Velkis pose la question : 5:18=20:? Penny Nom lui répond. |
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Fill in the signs |
2006-12-07 |
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Ujwala pose la question : 4$4$4$4=20 Fill in the signs in the place of dollor symbol. Stephen La Rocque lui répond. |
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Ratios |
2006-11-20 |
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Debbie pose la question : Business mileage:7,200 Private Mileage 10,800 What is the ratio of his business mileage to his private mileage Penny Nom lui répond. |
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Composition of functions |
2006-11-19 |
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RJ pose la question : Let f0(x) = 2/2-x and fn+1 = f0 o fn for n greater than or equal to 0. Find a formula for fn and prove it by mathematical induction. Recall that o represents function composition. i.e., (f o g)(x) = f(g(x)). Stephen La Rocque lui répond. |
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Scale factors and ratios |
2006-11-19 |
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Maggie pose la question : I have a BIG math test coming up, and it's about scale factors and ratios, but i don't understand them at all. How can you tell the difference between scale factors and ratios? and How are they used in the everyday world? Penny Nom lui répond. |
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What percent of the people oppose putting in curbs? |
2006-11-17 |
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Dee-Dee pose la question : The ratio of people who support putting in curbs to those who oppose it is 2 to 5. what percent of the people oppose putting in curbs? Stephen La Rocque lui répond. |
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Find the distance function s(t) given the acceleration function a(t) |
2006-11-16 |
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David pose la question : Find the distance function s(t) of the acceleration function: a(t)= sin(0.1t)/ cos^3(0.1t) Penny Nom lui répond. |
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The name of an equation |
2006-11-13 |
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Lee pose la question : I am struggling to find the name of the following equation. I remember watching a TV programme introduced by Arthur C Clarke. The programme focused on an equation that gave a wonderful pattern that went on into infinity. Two maths professors discussed this equation.It was described as 'Gods equation' as it was compared to the shape of trees and other shapes in nature. It was named after the inventor/discoverer. If you have any ideas i would be most grateful. Penny Nom lui répond. |
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Ratios, proportions and medicine |
2006-10-25 |
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Steven pose la question : I don't understand why we need to learn about ratios and proportions because i want to become a doctor and i don't know if i'll ever use this type of math. Penny Nom, Claude Tardif and Walter Whiteley lui répond. |
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Stairs for the front of a new community center |
2006-10-24 |
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Tia pose la question : Plans for a set of stairs for the front of a new community center use the ratio of rise to run of 2 units to 5 units. Are these stairs within carpenters guidelines,which state that the ratio of rise to run should be between 0.45 and 0.60 Penny Nom lui répond. |
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(2324/4)-525+214 |
2006-10-15 |
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Sherin pose la question : (2324/4)-525+214 Penny Nom lui répond. |
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Two gears |
2006-10-12 |
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A student pose la question : gear a on the left has 18 teeth and gear b on the left has 8 teeth.
suppose gear b makes one complete rotation in the counterclockwise direction. give the angle of rotation and direction for the rotation of gear a. Stephen La Rocque and Penny Nom lui répond. |
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BEDMAS |
2006-09-24 |
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Partick pose la question : if you have a question like this -(4)-(-4)+(-4)+4 how do you solve it step by step Penny Nom lui répond. |
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Help me prove that the square root of 6 is irrational |
2006-09-23 |
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Sylvia pose la question : Could you please help me prove that the square root of 6 is irrational ? Stephen La Rocque lui répond. |
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what is 8+(-2)(-5)/4-(-1)-4(-2+3) |
2006-09-08 |
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Jordan pose la question : what is 8+(-2)(-5)/4-(-1)-4(-2+3) Paul Betts lui répond. |
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16X27+32÷4-26 |
2006-08-20 |
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Amanda pose la question : The question was 16X27+32÷4-26. Stephen La Rocque lui répond. |
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An Integral |
2006-07-30 |
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Aniket pose la question :
I am Aniket studing in 12 th standard At Mumbai
I have following integration problem please give me a solution
integral of 1/under root of (5x2 - 2x) dx
Penny Nom lui répond. |
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I want to calibrate a glucose meter |
2006-07-27 |
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John pose la question : If I have 3 glucose control solutions having:
Low - 50 mg/dl
Normal - 100 mg/dl
High - 330 mg/dl
I want to calibrate a glucose meter but I need more than these 3 data points. How can I mix these up to get different concentrations in between 50 and 100, 100 and 330. I would like to mix up different concentrations and put them in test tubes or whatever to do some calibration work. Like 70 mg/dl, 90 mg/dl, etc. More data points should be in between say 50 and 100 since this is normal, 90 mg/dl is considered close to normal.
Stephen La Rocque lui répond. |
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Order of operations |
2006-06-29 |
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Jaden pose la question :
(1) A triangle has vertices at (-3,-3) (7,-3) and (-2,5). What is the area of the triangle?
Is there a way of doing this so that you dont have to graph it? If the x axis is horizontal can i say it is the base and the y-axis is horizontal meaning the height. Would I be able to do this...-3 to 7-->9 spaces, -3 to 5-->7 spaces-----9(7)63/2=31.5
(2) A cube has a surface area of 54 square centimeters. What is the volume of the cube in cubic centimeters?
Stephen La Rocque lui répond. |
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Order of Operations |
2006-06-29 |
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Marcy pose la question : I have been having problems with this skill testing question. I know the rules of operation but I don't understand why they would put it in brackets. Can you help me. I have two answers but I would like to know which one is right. Im having a disagreement with a friend over this matter. Thank you so much
[ (20 + 82 - 6) ÷ 16 ] x 14 Steve La Rocque and Paul Betts lui répond. |
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The interior angles of a right triangle |
2006-05-20 |
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Greg pose la question : I am wondering if there is a way to figure out the interior angles of a right triangle if we know ONLY the side lengths, and the trick is, we CANNOT use arctangent! Leeanne Boehm and Penny Nom lui répond. |
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Ordre des opérations |
2006-04-07 |
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Chantal pose la question : 1435/5x2-364= j'aimerais savoir la reponse et que veux dire la barre / Claude Tardif lui répond. |
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BEDMAS |
2006-03-21 |
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Andie pose la question : It's been a long time since I've used bedmas. I'm still confused as to what the answer to this question would be.
30 - (2 x 9) + (15/3)= Penny Nom lui répond. |
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An equilateral triangle and a regular hexagon |
2006-02-28 |
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Trevor pose la question : An equilateral triangle and a regular hexagon have equal length perimeters. What is the ratio of their areas? Penny Nom and Stephen La Rocque lui répond. |
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Equal fractions |
2006-02-10 |
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Dylan pose la question : write three equal ratios
3/4 _________________________
Penny Nom lui répond. |
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BEDMAS |
2006-01-31 |
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Janielle pose la question : What Do All the Letters In BEDMAS Stand for? Penny lui répond. |
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What is the ratio of 3 cups to 3 quarts? |
2006-01-25 |
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Virjeannia pose la question : What is the ratio of 3 cups to 3 quarts? RoverDaddy lui répond. |
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The circumference of a larger circle is twice the circumference of a smaller circle. |
2006-01-20 |
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Amanda pose la question : The circumference of a larger circle is twice the circumference of a smaller circle. What is the ratio of the radius of the smaller circle to the diameter of the larger circle? Penny Nom lui répond. |
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BEDMAS |
2005-11-24 |
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Judy pose la question : My name is Judy and I am a grade 6 teacher.
We have just started our lessons on the order of operations and my students have asked me why we have BEDMAS and what is the logic to it.
Is there a reason that that we do math in this particular order?
Who invented this rule or how was it decided on and when? Walter Whiteley lui répond. |
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Rational expressions |
2005-11-15 |
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Zach pose la question : I can solve easy problems such as (x/2)+3=2+(3x/4). That is easy because the Lowest Common Denominator is 4. But what really gets me stuck is a problem like this one.
(6/x-2) = ( 21/(x-2)(x+2) )+ 1. Penny Nom lui répond. |
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Velocity and acceleration |
2005-10-27 |
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Candace pose la question : When taking the integral of the position function, you get the velocity function, and the same for velocity to acceleration. So when you do each of these, you get a function. But when you integrate on a graph, you get an area under a curve. The area is un units squared- where do the units go when you make it an equation? How can a function be an area? Harley Weston lui répond. |
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2x/x^2-9 - 6/x^2+x-12 |
2005-09-27 |
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Emily Ann pose la question : 2x/x2-9 - 6/x2+x-12 Penny Nom lui répond. |
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A rational arithmetic expression |
2005-09-14 |
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Vijay pose la question : How to simplify following Grade 9 math problem:
(4/-9) X (-21/-32) X (-3/14) Penny Nom lui répond. |
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BEDMAS |
2005-09-01 |
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A student pose la question : I am a student and am wondering about the answer to this question.
56/2(31)
is the answer 7?
Harley Weston lui répond. |
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Converting rational numbers |
2005-08-07 |
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Joe pose la question :
I am helping my son with his converting rational
numbers in the form of A/B where A and B are integers and
B not equal to zero
I think I am doing this right but I am not sure so
below are the problems and our answers are beside
them, please let me know if these answerers are correct
Penny Nom lui répond. |
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A geometric sequence |
2005-06-21 |
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A student pose la question :
The first three terms of a geometric series are 3(q+5), 3(q+3), (q+7) respectively.
Calulate the value of q. Penny Nom lui répond. |
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Jobs relating to the topics of ratios and proportions |
2005-05-17 |
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Alexa pose la question : What are some jobs relating to the topics of ratios and proportions other than architects and map makers? Walter Whiteley lui répond. |
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The limit as x approaches 3 of (sqrt(x+1)-2)/(x-3) |
2005-04-14 |
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Abraham pose la question : What is the limit as x approaches 3 of
(sqrt(x+1)-2)/(x-3) Penny lui répond. |
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Rational functions |
2005-04-05 |
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Nicole pose la question : My name is Nicole and I am a teacher at Weyburn Comprehensive School. I am currently teaching both Math B30 and Calculus 30 at the school and I have a question about rational functions. I know that if a rational function (by definition) has common factors in the numerator and the denominator then it is not a rational function (math b30) however in calculus this common factor creates a hole in our graph. Can you explain to me why a common factor or constant does not give us a rational function? Penny Nom and Leeanne Boehm lui répond. |
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The integral of tan^4x |
2005-03-31 |
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Nicole pose la question : college student. need help with tough integral.
the integral of 2tan4xdx
Penny Nom lui répond. |
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The ratios of Business, Accounting and Engineering majors are: 7:8:10. |
2005-03-11 |
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John pose la question : There are 500 students in a collage class. The ratios of Business, Accounting and Engineering majors are: 7:8:10.
How many Engineering majors are there in the class?
Penny Nom lui répond. |
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Strategies for teaching operations with positive and negative decimal numbers |
2005-02-02 |
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Erin pose la question : I am wondering if you can suggest any strategies for teaching operations with positive and negative decimal numbers that do not rely on rules that must be memorized? Diane Hanson lui répond. |
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Approximating an integral |
2005-01-27 |
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A student pose la question : i used excel to find the area under a graph instead of integrating the function the analytical way. These are the different answers i got with different width of the x-values, the smaller the x-increment gets the more precise the area is when compared to the answer obtained the numerical way. I have trouble seeing why the answers i get is getting bigger and bigger and not smaller can someone plz explain? Penny Nom lui répond. |
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The golden ratio |
2004-12-31 |
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Cristina pose la question : let x represent the longer segment. to find the golden ratio, write a proportion such that the longer of the two segments is the geometric mean between the shorter segment and the entire segment.Use the quadratic Formula to solve the proportion for X. Find the value in both radical and decimal form. Penny Nom lui répond. |
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A regular hexagon is inscribed in a circle. |
2004-12-08 |
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Abraham pose la question : A regular hexagon is inscribed in a circle. What is the ratio of the length of a side of the hexagon to the minor arc that it intercepts?
(1) pi/6
(2) 3/6
(3) 3/pi (This is the correct answer.)
(4) 6/pi
I found the length of the minor arc to be (pi)(r)/3 by doing a sixth of the circumference(2pi r).But I can't find the length of the radius to finish off the problem. If I knew the radius I would then plug it into the above and then use the radius again to be the length of the side because the triangle(one of the six of a hexagon) is equilateral. But can you show me how to get the radius to be 3? Thank you so much.
Walter Whiteley lui répond. |
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Order of operations |
2004-11-10 |
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Andrew pose la question : I'm trying to solve this question, and I can't seem to remember the rules back from my high school days.
(40 x 8 ) / 2 + 55 - 15 =
Can you help me with the answer? Harley Weston lui répond. |
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Bedmas |
2004-11-09 |
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Fariha pose la question : i have a single line question and am not sure of the method
it would be appreciated if u could send me a method and a solution Q : 1 + 9 / 2 + 5 * 1000
would this be solved by BEDMAS? if not, why? Penny Nom lui répond. |
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Bedmas |
2004-10-30 |
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Gina pose la question : I am just curious whether Bedmas would be used in the following question as it is not in the typical Bedmas format.
Multiply 12 x 24
Add 26
Divide by 2
Subtract 7
Would we go about doing it in the sequence it is given or in Bedmas ? Penny Nom lui répond. |
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Ratios and rates |
2004-10-27 |
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Kenneth pose la question : What is the difference between a ratio and a rate? Penny Nom lui répond. |
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Accelerating to the speed of light |
2004-09-30 |
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Lars pose la question : How long time would it take to accelerate up to the speed of light with an acceleration speed similar to 0-100 seconds in 5 seconds? Penny Nom lui répond. |
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Rational expressions |
2004-09-24 |
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A student pose la question : In general, I understand rational expressions except when it comes to solving problems such as:
x+y/2x-y - 2x/y-2x or m-4/3m-4 + 3m+2/4-3m
I am confounded by the issue of having to find a common denominator. For example, if I tried to solve these problems by multiplying both denominators they would still be uncommon. Claude Tardif lui répond. |
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Order of operations |
2004-09-04 |
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Leanne pose la question : 6 + 3 - 2 x 3 = Claude Tardif lui répond. |
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Combined operations |
2004-08-26 |
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Louise pose la question : Question 2 1/4 x 1/8 / 1 3/4 x 12 4/9 x 3 = Penny Nom lui répond. |
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50/5x - y |
2004-08-22 |
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Rick pose la question : Niece has a question that was marked wrong but we are unable to determine how the teacher calculated and arrived at the answer? The problem was as follows:
50 / 5x - y =
x=5
y=1 Harley Weston and Leeanne Boehm lui répond. |
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Integrating e^sin(x) |
2004-08-04 |
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A student pose la question : I need to know that how to solve the integral " e^sin x", Harley Weston lui répond. |
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An equation with rational terms |
2004-06-17 |
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Louise pose la question : simplify the expression
(a2+n2)/2n = a2 + (a2-n2)/2n Penny Nom lui répond. |
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Rational expressions |
2004-04-06 |
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Shivani pose la question : I am in 11th grade Honors Algebra II. We are currently learning about adding and subtracting rational expressions. I looked at the other questions that were similar to that of mine, but they weren't quite answering my question. I have been working on many problems to practice and see if I can come up with the correct answer, but I can't, I got like 2 out of every 7 right on my school homework. I get the easy ones, where when you have to find the LCD, it's just the other denominator. But, on others you have to really think about it. Those are hard. Here are some of the problems that I cannot get at all: (x2 - 3x + 1)/(x2 - 4) - (x2 + 2x +4)/(2 - x) - (x - 4) /(x - 2)
The correct answer is:
(x3 + 4x2 + 7x + 17)/(x2 - 4) Penny Nom lui répond. |
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Ratios |
2004-04-05 |
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Tim pose la question : The ratio of W to H was 7 to 9. The ratio of H to I was 9 to 5. If the sum of the W and H exceeded twice the number of I by 12, how many were W, how were H and how many were I? Penny Nom lui répond. |
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(3x50)+20/5=? |
2004-04-03 |
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A student pose la question : what is the answer to:
(3x50)+20/5=? Penny Nom lui répond. |
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Ratio and proportion |
2004-04-02 |
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Kenneth pose la question : The terms of a ratio in a proportion are often expressed as a is to b as c is to d.
Example: 2/4 = 6/12 this proportion represents that 2 is to 4 as 6 is to 12.
What does the "a is to b as c is to d" really represent or indicate in ratios? Claude Tardif lui répond. |
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BEDMAS |
2004-03-20 |
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Brad pose la question : I am in grade 7. My teacher tells me brackets always first, well i know that but, 5 (-4) x 2
Does the (-4) count as a bracket or is it just telling you not to minus 4 from 5 but to multiply 5 x -4 ? Am i correct? Penny Nom lui répond. |
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Some ratio problems |
2004-03-13 |
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Hossen pose la question :
1) After James spent 2/5 of his pocket money on magazines, and 1/4 of his pocket money at a football match, he had £1.75 left. How much pcket money did he have in the beginning?
2) A joint of Lamb costs £5.95 per/kg. The price per kilogram is reduced. A joint weighing 1.2kg is reduced by 50p.
A) What is the reduced price per kilogram?
c Penny Nom lui répond. |
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Order of operations |
2004-01-28 |
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John pose la question :
I am trying to find out any information concerning the development of the order of operations. for example, when (why/how) did it become the case that 2 + 3 x 5 =17, rather than 25.
any insight is appreciated. Thank you.
Penny Nom lui répond. |
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Polynomials |
2004-01-25 |
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Bruce pose la question :
A polynomial is defined as
Polynomial functions are functions that have this form:
f(x) = anxn + an-1xn-1 + ... + a1x + a0
The value of n must be an nonnegative integer. That is, it must be
whole number; it is equal to zero or a positive integer.
The coefficients, as they are called, are an, an-1,
..., a1, a0. These
are real numbers.
Questions:
- why must n be positive?
- what are some historical facts
about the evolution of the definition?
Harley Weston lui répond. |
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g on Mars |
2004-01-22 |
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RC pose la question : To measure the acceleration on Mars an object is dropped from a height of 160m. It takes 10s for this object to hit the ground. What is the value for g on Mars?g Penny Nom lui répond. |
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BEDMAS |
2004-01-21 |
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Jessica and her mom pose la question :
my mom and I were wondering 2 things.
1. what is the reason for having bedmas.
2. 5+5-4+[6x3-(6+1-3x2) -5+9]
Penny Nom lui répond. |
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Ratios and proportions |
2003-12-31 |
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Frank pose la question : I would like to know how you use 'ratios and proportions' in everyday life. Penny Nom lui répond. |
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AB/AP=AP/PB |
2003-11-20 |
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James pose la question : My name is James McBride. I'm having a difficult time with a pre calculus problem, which goes as follows: "show that AB/AP=AP/PB is equal to (1+5^1/2)/2 (one plus the sqaure root of five with the sum divided by two. I can't do the square root sign, sorry.) I have tried to solve for PB in terms of the other varialbles and then work the quadratic equation. THAT DOES NOT WORK!!!! I am befuddled. Please help me. I am a student of secondary level. Penny Nom lui répond. |
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Equal ratios |
2003-11-07 |
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A student pose la question : In the ratio 3:8=17__, can__be a whole number? Penny Nom lui répond. |
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The golden ratio |
2003-09-23 |
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Phillip pose la question : The Golden Section can be made from an equilatereral triangle inscribed within a circle. The Golden Section is achieved by joining the mid points of two arms of the triangle to the circumference. I can prove this by erecting a perpendicular to the line outside the circle, but am interested to see how it can be proved from within the circle. Chris Fisher lui répond. |
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Order of operations |
2003-09-07 |
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Brian pose la question :
It has to do with the 4 rules of operations, Parentheses first before operations outside/evaluate all exponential expressions/all multiplication and divisions/then all additions and subtractions. Who made these rules and when did they make them,,, I know its somewhat of an unorthadox question but I must know. I would really appreciate it. Penny Nom lui répond. |
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A helicopter rises vertically |
2003-09-02 |
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Kate pose la question : A helicopter rises vertically and t seconds after leaving hte ground its velocity is given in feet per second by v(t) = 8t + 40 / (t+2)2 How far above the ground will the helicopter be after 3 seconds? Penny Nom lui répond. |
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Odd powers of sine and cosine |
2003-06-25 |
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Antonio pose la question : Can you please tell me how to integrate a trig function involving sine and cosine? I know if the powers of both the sine and cosine are even and nonnegative, then I can make repeated use of the power-reducing formulas. But for the question I have on my hand, the powers of both sine and cosine are odd: ( sin3x + cos7x ) dx. Harley Weston lui répond. |
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4-3(m+1)=(-38) |
2003-06-25 |
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Jamie pose la question :
I have a problem, like most of your mailers, I do remember BEDMAS but maybe I'm missing the finer points! It's been a while, he goes 4-3(m+1)=(-38) Penny Nom lui répond. |
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BEDMAS |
2003-05-31 |
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Kristie pose la question : (3x50)+20/5=?
I know bedmas but i forget how to do it. Penny Nom lui répond. |
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Subtracting rational expressions |
2003-05-10 |
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Simone pose la question : hi, i'm totally lost. i understand that you need to find a lowest common denominator to subtract two fractions (rational expressions) with different denominators. but what if the denominators are "x-1" and "x". is x the common denominator? if so what happens to the "-1"? do you know of any live online help i can get with the following: 3/(x-1) - (1-2x)/x i've looked through my notes and have no examples that quite match that i can follow to get through it. please help! Penny Nom lui répond. |
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Integrating e^x sin(x) |
2003-05-03 |
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Lech pose la question : I am having trouble integrating the following expression by parts: ex sin(x) I used the integrator at http://www.integrals.com/ to find the solution, ? 1/2 ex cos(x) + 1/2 ex sin(x). This is easy to confirm by differentiation, however I am confounded as how to arrive at the answer. Penny Nom and Claude Tardif lui répond. |
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38 minus 10 plus 12 divided by 4 times 16 |
2003-04-23 |
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James pose la question : please help me work this math problem 38 minus 10 plus 12 divided by 4 times 16 Harley Weston lui répond. |
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Excluded values |
2003-02-22 |
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Josh pose la question : Why do you think it is necessary to include the "excluded values" when you write your answers to rational expressions? Penny Nom lui répond. |
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Order of operations |
2003-02-16 |
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A student pose la question : How is the order of operation used in everyday life other than in a math class or at school? Also .... Can you give me a list of all the mathematician that are still living that uses the order of operation? Claude Tardif lui répond. |
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Order of operations |
2003-02-15 |
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Debbie pose la question : Question: 20-(9+4)x7=? Possible answer -71 or 49? Penny Nom lui répond. |
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BEDMAS |
2003-02-09 |
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Stefanie pose la question : I do remember the rules of BEDMAS, but for some reason this question puzzles me. 6 X 9 - 3 + 44 I started with the Multiplication 54 - 3 + 44 But then I got stuck, do I proceed with adding the 44 and subtracting the 3 or figure out what -3 + 44 is, but then how would that work with 54?
Penny Nom lui répond. |
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Rational expressions |
2003-01-22 |
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A student pose la question :
// = the main fraction line 1.) a+1/a-1 + a-1/a+1 // a+1/a-1 - a-1/a+1 2.) 2/a(squared)-3a+2 + 2/a(squared)-a-2 // 2/a(squared)-1 + 2/ a(squared)+4a+3 Penny Nom lui répond. |
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Integration of 1/(2+cos(x)) |
2003-01-07 |
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A student pose la question : integral from pi to 0 of dx/(2+cos x) i used the substitution t=tan(x/2) and i ended up with integral from +infinity to 0 of 2dt/(t2+3) which looks like an inverse tan function , and i ended up with sqr(27)/2 pi , which is not the same as my calculator's answer , so i suspct i am doing some thing wrong. can some one tell me where i am going wrong please. Penny Nom lui répond. |
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Two numbers have a ratio of 5:3 |
2003-01-01 |
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Patricia pose la question : Two numbers have a ratio of 5:3. The larger number is 36 more than half the difference of the two numbers. What are the two numbers? Penny Nom lui répond. |
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Augmented matrix |
2002-12-31 |
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Michelle pose la question : I am trying to augment a matrix so that i can find the values of the variables a, b, and c. For the life of me i can't find a solution to the matrix: 3 -5 2 ' 22 2 3 -1 ' -9 4 3 3 ' 1 I thank you for your help, Michelle Penny Nom lui répond. |
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Gears and ratios |
2002-11-17 |
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Matt pose la question : if gear A has 12teeth and Gear B has 16teeth and gear C has 10teeth and gear A turns 40 times how many times will gear C turn Penny Nom lui répond. |
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Rational expressions |
2002-10-03 |
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Ashley pose la question : 1/x(squared) + 5/xy Penny Nom lui répond. |
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Number play |
2002-09-24 |
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Julie pose la question : Organize these numbers and the operations so that each equation is correct. Use each coice only once per equation.
36 18 12 6 - + ( ) /
_________________________ = 22
_________________________ = 41 Claude Tardif lui répond. |
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38-10+12divided by4multiplied by 16 |
2002-08-30 |
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Brenda pose la question : my math question is as follows: 38-10+12divided by4multiplied by 16=? Penny Nom lui répond. |
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Student to teacher ratio |
2002-08-28 |
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A student pose la question : central middle school has 2470 students and the ratio of students to teachers is 26:1 how many new teachers are needed to reduce this to 19:1? Penny Nom lui répond. |
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Mixing gas and oil |
2002-08-27 |
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Sherry pose la question : how do I calculate the correct fuel ratio for a boat motor? 50:1 the oil containers only say how many ounces to add to 5 gallons of fuel to make a 50:1 ratio.(13 ounces to 5 gallons of fuel) I have a 20 gallon tank so what if I add 11.6 gallons of fuel, what formula would I apply to get the correct measurement of oil to add? Penny Nom lui répond. |
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Order of operations |
2002-07-18 |
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Danna pose la question : I would like to know how to solve this type of problem; I already have the answer. Problem: 2 [5 (4 + 6) - 2] = 96 Also, what do you call this type of problem? Thanks a lot. Penny Nom lui répond. |
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Integrating x^x |
2002-06-18 |
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Jeremy pose la question : I am a student at the University of Kansas and I am wondering if there is a general anti-derivative for x x (i.e. the integral of x x dx)? I've looked in a bunch of Table of Integrals and have found nothing (can you guys find it?), so I'm sort of wondering if this may be a research type question. Claude Tardif lui répond. |
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A good rule of thumb when driving |
2002-06-13 |
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Lisa pose la question : A good rule of thumb when driving is that you should be about one car length away from the car in front of you for every 10 miles per hour that you are travelling. Suppose you follow this rule perfectly (so you are exactly the correct distance away). You are waiting at a stop light with your front bumper just touching the car in front of you. The light turns green and the car in front accelerates at a constant rate "r". Calculate how you should accelerate in order to follow the rule. Penny Nom lui répond. |
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Ratios and weights on Neptune |
2002-06-03 |
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Janice pose la question : The ratio of an object's weight on earth to it's weight on Neptune is 5:7. How much would a person who weighs 150 pounds on earth weigh on Neptune. Penny Nom lui répond. |
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8/13*26/27 |
2002-05-01 |
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Arias pose la question : 8/13*26/27= Penny Nom lui répond. |
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An augmented matrix |
2002-04-20 |
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A student pose la question : Hi my math teacher asked us to solve an augmented matrix. I am in twelfth grade and need help. The book we are working on is college algebra. Here it is a+2b+c=0 2a+5b+4c=-1 a-b-9c=-5 Penny Nom lui répond. |
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Arc length |
2002-04-17 |
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Vix pose la question : Find the point on the curve r(t)=(12sint)i-(12cost)j+5tk at a distance 13pi units along the curve from the point (0,-12,0) when t=0 in the direction opposite to the direction of increasing arc length. Harley Weston lui répond. |
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Ratios |
2002-04-17 |
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A student pose la question :
- Medication is givin at 1cc. per 20 pounds of body weight. A dog weighs 16 pounds how many ccs. of medication does the dog get?
- Dr. Lee wants you to prepare 1000 ml. of a 10% dextrose solution in lactaed ringers for diuresis or a patient you have a 1 L bag of lactated ringers and 500 ml of 50% dextrose for injection. How would you prpare the solution?
Penny Nom lui répond. |
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Two triangles |
2002-04-03 |
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Scott pose la question : Consider 2 triangles: Triangle PMB and Triangle PLA. Triangle PLA is contained within Triangle PMB. Side LA is parallel to Side MB. Point L is located on Side PM. Point A is located on Side PB. If the ratio PL:LM = 5, then what is PB:PA ?? harley Weston lui répond. |
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Meg's biscuits |
2002-03-29 |
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Tami pose la question : Meg's biscuits recipe calls for 4 cups of flour for every 1.5 cups of milk. If Meg uses 6 cups of flour, how many cups of milk will she need? Penny Nom lui répond. |
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The square root of 2 |
2002-03-05 |
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Roger pose la question : Does two (2) have a square root or do the numbers just keep going? Are there any other numbers that behave like two when it comes to extracting the square root? Penny Nom lui répond. |
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Fractions to decimals and percents |
2001-12-31 |
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A student pose la question : 2/5 , 4/8 , 4/10 , 3/5 , 6/8 , 7/7 (what is the decimal and percent for each)
1/5 , 1/10 , 1/8 , 1/1 (what is the decimal for each)
100 PERCENT, WHAT IS THE DECIMAL?
The ratio of boys to girls in a class is 1:4. What percent of the class are girls? Penny Nom lui répond. |
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The probability that the area of a triangle is smaller that 1/8 |
2001-12-21 |
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Hoda pose la question : Given unit square pick two points on adjacent sides of the square , what is the probability that the area of the resulting triangle is smaller that 1/8? I tried to tackle the problem by first sketching a square with the four vertices at (0,0), (1,1), (0,1) and (1,1). The answer seems to be the area under the curve y=0.25/x between 1 and 0, but how can you integrate such a function when ln0 is undefined? any help would be highly appreciated. Andrei Volodin lui répond. |
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Ratios and proportions |
2001-11-26 |
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Adam pose la question : I am doing a project where I come to this website and ask a math expert about a certain topic. My topic is ratios and proportions. Can you please tell me what your job is and how you use ratio's and proportions in your job. Can you also please explain what ratios and proportions are. Harley Weston lui répond. |
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Ratios |
2001-11-21 |
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Mike pose la question : Simplify these ratios. 7 1/4 inches to 2 feet. $0.02 per $1.75 Peny Nom lui répond. |
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Ratio and proportion |
2001-10-10 |
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Steve pose la question : Where would you use a proportion and/or a ratio in a real life job or problem. Leeanne Boehm and Walter Whiteley lui répond. |
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1:5 |
2001-09-27 |
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Sandy pose la question : A colleague and I have a disagreement about dilutions. I seem to remember that I was taught (although it was a long time ago) that a RATIO was written thusly: 1:5 , and read " one part to five parts", for a total of 6 parts. On the other hand, a fraction is written: 1/5 and is read" one part in five" for a total of 5 parts. My colleague says that the ratio reads "one part in five" and is essentially the same as a fraction. Which is right? Have I been doing dilutions wrong all this time? I teach Animal Nursing and need to know where I can find a consise answer to such questions for making up medicated fluids, etc. Penny Nom lui répond. |
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Some irrational numbers |
2001-07-03 |
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Kellie pose la question :
- Is it possible to write pi as a fraction?
- Is it possible to write the square root of 2 as a fraction.. Explain why?
Harley Weston lui répond. |
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Area between curves |
2001-06-13 |
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Phil pose la question :
question 1 find the area bound by the curves y = x2 + 2x + 3 and y = 2x + 4 question 2 Find the volume generated by rotating the curve x2 + y2 = 9 about the x-axis Harley Weston lui répond. |
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SPRT |
2001-05-24 |
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A researcher pose la question : I have a medical-pharmaceutical study that says: SPRT (something to do with Secuential and Truncated). Do You know what it means S.P.R.T. and what it is? Ejaz Ahmed and Penny Nom lui répond. |
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National consumption function |
2001-05-09 |
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Brian pose la question : If consumption is $11 billion when disposable income is 0 and the marginal propensity to consume is dC/dy = 1/(2y+4)1/2+0.3(in billions of dollars), find the national consumption function. Harley Weston lui répond. |
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Dividing fractions |
2001-05-09 |
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Rina pose la question : I just wanted to ask if you could help me in math. See I'm having a test soon and its on Dividing Fractions and I just don't get it. My math teacher says that I'll be just fine but I failed my math quiz. I went to ask eric but they could help me so they told me to go to you. So here I am asking you if you could help me. Penny Nom lui répond. |
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The average value of a continuous function |
2001-05-08 |
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Esther pose la question : The average value of a continuous function y = f(x) on the interval [a,b] is given by ________________? Harley Weston lui répond. |
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Adding and subtracting rational expressions |
2001-05-03 |
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Donna pose la question : Adding and subtracting Rational expressions. I am in grade 10 and I am a student here is an example of the questions: 1/(x+1) - 1/(x-1) = ? Penny Nom lui répond. |
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Logs for the fire |
2001-05-02 |
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Tom pose la question : Three girls named Amanda, Beatrice, and Cleo visit a summer cottage. Amanda brings 5 logs for the fire, Beatrice brings 3 logs and Cleo contributes 80 cents. How should the money be divided among the other two girls so that each of the three is felt to have contributed equally to the cost of the fire. Penny Nom lui répond. |
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Oil revenue |
2001-04-21 |
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Brian pose la question : Suppose that t months from now an oil well will be producing crude oil at the rate of r(t), not a constant, barrels per month and that the price of crude oil will be p(t), not a constant, dollars per barrel. Assume that the oil is sold as soon as it is extracted from the ground. - Find an expression for the total revenue from the oil well, R(t).
- A certain oil well that currently yields 400 barrels of crude oil a month will run dry in 2 years. The price of crude oil is currently $18 per barrel and is expected to rise at a constant rate of 3 cents per barrel per month. What will be the total revenue from this well? {Hint: Model the degraded production rate with the equation:
r(t) = (A-Bt)e0.04t} Harley Weston lui répond. |
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Integration by parts |
2001-04-09 |
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A student pose la question : how do you integrate x tan-1x dx, i know it can be done by integration by parts maybe, but i'm not sure.... Claude Tardif and Harley Weston lui répond. |
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Two integrals |
2001-04-03 |
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Jim pose la question : I'm having trouble with these integrals. Can you help me out? 1)the integral of:
x5 arctan x dx 2)the integral of:
2x5 + 9x4 + 19x3 + 13x2 - 5x - 25 ----------------------------------------------- dx x4 + 4x3 + 5x2 Claude Tardif lui répond. |
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66:1 |
2001-03-26 |
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A student pose la question : I need to know how to convert the ratio 66:1 to a percentage. I can not find an answer any where on-line when the second number is a 1. Penny Nom lui répond. |
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Cube roots on a calculator |
2001-03-24 |
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Will pose la question : Hi my name is Will.I have a question about the calculator TI-83 Plus or the use of a scientific calculator. It is about using them to turn a cubed root to a decimal. When using that for a rational and irrational number. Rational numbers is a number that terminates or repeates. A irrational number goes on and on and uses ... (like pie). Like when you type the cube root of 8 it gives you 2, and that is a rational number. The squre root of 2 is 1.41421356... that is irrational. So why is it when you put the cube root of 16 in the calculator it says 2.5198421 that is rational it terminates at the ninth digit and my float is set for the tenth? But why when you do it by hand you get the 2 times the cube root of 2 and that is irrational? Why is that? Judi McDonald lui répond. |
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A jogger |
2001-03-12 |
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Bill pose la question : At time t=0 a jogger is running at a velocity of 300 meters per minute. The jogger is slowing down with a negative acceleration that is directly propotional to time t. This brings the jogger to a stop in 10 minutes. a) write an expression for the velocity of the jogger at time t. b) what is the total distance traveled by the jogger in that 10-minute interval. Harley Weston lui répond. |
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The n-th place of pi |
2001-02-27 |
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Andrew pose la question : I have always wondered; is it possible to find the value of an irrational number, such as (phi) at it's nth decimal place??? You would plug the decimal place into the formula and the value would be given at the specified decimal place. When we look at the expression { (sqr 5 + 1)/2 } we are in a sense visualising the number in it's entirety, so the formula may include elements of the above expression in some form. Claude Tardif lui répond. |
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Ratios |
2001-02-20 |
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Louise pose la question : there are 3 people and they decide to share their tips (working in a restaurant) ann gets £180 tony £130 peter £90 total amount is £36 what share should they get. Penny Nom lui répond. |
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Books and cars |
2001-02-13 |
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Aquilya pose la question :
- A pile of books is 96.08cm. If each book is 0.8cm thick. How many books are in th pile?
- 2. A car travels 9.84km on 0.6 litres of petrol. How far will the car travel on 3.7 litres of petrol?
Penny Nom lui répond. |
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What is wrong with these probelms? |
2001-02-09 |
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Cindy pose la question : Hi, I am a planning on becomming a teacher and i am asked to find out what is wrong with these probelms and how i would go about showing a student what is wrong with them!! Error in patterns: 13/35=1/5; 27/73=2/3; 16/64=1/4 4/5+2/3=6/8; 2/5+3/4=5/9; 7/8+1/3=8/11 2/3*3=6/9; 1/4*6=6/24; 4/5*2=8/10 Leeanne Boehm and Penny Nom lui répond. |
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More repeating decimals |
2001-01-17 |
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Alan pose la question : I am neither a math teacher nor a student, but I hope you will consider my question anyway. I recently was discussing repeated decimals with a friend, and went on the web to find out more about a pattern was looking for years ago. In doing so I came upon your correspondence on repeating decimals. . . . Chris Fisher and Penny Nom lui répond. |
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Repeating decimal notation |
2000-12-31 |
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Clarende Duby pose la question : I have seen single repeating decimals for ex. 1/3 = 0.3 with the dot above the 3 to represent the repeating decimal. Then, there is the more common form of the bar over the top of the repeating number or group of numbers (called the period?). Which notation is correct? Penny Nom lui répond. |
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Solving x - sin(x) = constant |
2000-12-29 |
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Keith Roble pose la question : If x is in radians, how do you solve for x, where: x-sin(x) = constant? Harley Weston lui répond. |
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How do you integrate secant(theta)? |
2000-12-22 |
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Robert Williamson pose la question : How do you integrate secant(theta)? I know the answer is ln [sec(theta) + tan(theta)] but how do you get there? Claude tardif lui répond. |
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When did the man go out? |
2000-12-14 |
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Rajesh pose la question : A man goes out in time between 5 and 6 and when he comes back he observes that two hands have interchanged position. Find when the man did go out? Penny Nom lui répond. |
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Three problems |
2000-12-14 |
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Sarah pose la question : Hi, my name is Sarah, and I'm asking this question on behalf of niece who is in secondary two. Thank you. Q1. What is the angle formed by the hour hand and the minute hand of a 12 hour clock at 5.50pm. . . . Penny Nom lui répond. |
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Direct and inverse variation |
2000-12-12 |
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Ashley pose la question : I'm stuck on this unit of direct and inverse variation..please and my problems and show me how to do each PLEASE!!! Assume that y varies directly as x If y= -4 when x = 2, find y when x= -6 Assume that y varies inversely as x If y =-4 when x=2, find y when x =-6 Penny Nom lui répond. |
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The aspect ratio of a rectangle |
2000-12-04 |
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Ron Delavigne pose la question : The aspect ratio of this rectangle is 4:3. That is A to B is 3. And B to C is 4. If I know the lenght of A to C is 19 inches, how can I find the length of A to B, and B to C. Penny Nom lui répond. |
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A non-integrable function |
2000-12-03 |
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Mark Spilker pose la question : I have a proof that I cannot do here it goes. Let F(x)= 1 if x is a rational number 0 if x is an irrational number Prove the function is not intregrable on the interval (0,1). Hint: Show that no matter how small the norm of the partition, the Riemann Sum for the SigmaNotation F(wi) DeltaiX is not unique. Harley Weston lui répond. |
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An integration problem |
2000-11-30 |
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A student pose la question : If a>0 and the integral from b to 0 of 1/(1+x) equals 1/2 the integral from a to 0 of 1/(1+x), express "b" in terms of "a" Claude tardif lui répond. |
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Order of operations |
2000-11-26 |
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Margaret Pratt pose la question : My daughter has a math question and I am afraid I am of no help. Can you help? 2x5/2+1-5= She arrives at 8 as the answer and has been told this is incorrect. Any help you can give would be appreciated. Penny Nom lui répond. |
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Comparing an integral and a sum |
2000-11-21 |
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Douglas Norberg pose la question : A fellow teacher asked me about a problem she wanted to give to her students. It involved whether to take a million dollars or a penny doubled a number of times. I was able to determine the number must have been .01 * 230 which is about $10 million and a lot more than $1 million. To check that I was right I used a spreadsheet and did a Riemann sum. When I finished I reasoned that I had done the task in several steps and I could have done it in 1 step. Thus I integrated .01 * 2x from 0 through 30 but the number I got was $15,490,820.0324. Why the difference? Harley Weston lui répond. |
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Cutting the lawn |
2000-10-26 |
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Kacie pose la question : Ellen can mow a lawn in 2 hours. Mary can mow the same lawn in 1.5 hours. How long would it take them to mow the lawn together? Penny Nom lui répond. |
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Working together on a job |
2000-10-23 |
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Nicole pose la question : WORKING TOGETHER ON A JOB: Patrice, by himself can paint 4 rooms in 10 hours. If he hires April to help they can do the same job together in 6 hours. If he lets April work alone , how long will it take her to paint 4 rooms? Claude Tardif lui répond. |
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The scale on a map |
2000-10-21 |
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Caroline pose la question : On a map scale of 1:15000 the distance between two buildings is 31.4cm what is the actual distance in km. Penny Nom lui répond. |
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Sunflower seeds |
2000-10-09 |
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A parent pose la question : Find the number of 3/4 pound of sunflower seeds that can be filled with 225 pounds of sunflower seeds Penny Nom lui répond. |
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Repeating decimals |
2000-10-06 |
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Mary O'Sullivan pose la question : I understand that with repeating decimals (those with a pattern), the number of digits repeated is put into fraction form with the same number of 9's ex. 0.4444 = 4/9 0.145145145 = 145/999 How can I explain why this is so? Some inquisitive 8th graders are anxious to find out! Penny Nom and Walter Whiteley lui répond. |
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Dividing a region in half |
2000-09-21 |
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Kerry pose la question : There is a line through the origin that divides the region bounded by the parabola y=x-x2 and the x-axis into two regions with equal area. What is the slope of the line? Penny Nom lui répond. |
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Order of operations |
2000-09-19 |
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Nicole pose la question : the problem is, 4x8-18 divided by 6= do you solve this by doing 4x8=32 then by dividing 18by 6= 3, then subtracting 3 from 32 = 29? If not what is the order of operation? Penny Nom lui répond. |
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Rational Numbers |
2000-09-14 |
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Josh Kuhar pose la question : How can you tell a number is rational? Harley Weston lui répond. |
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Gravity |
2000-09-06 |
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Robert Broomfield pose la question : If they dropped a 1lb object from 40,000 feet in the air, at what speed would it it the ground? Harley Weston lui répond. |
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Making milkshakes |
2000-09-04 |
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Linda pose la question : To make a chocolate milkshake, 3 parts chocolate syrup are mixed with 2 parts malt. To make a vanilla milkshake, 2 parts vanilla syrup are mixed with 1 part malt. If equal parts chocolate and vanilla milkshakes are mixed, what is the proportion of malt to milkshake? Penny Nom lui répond. |
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Six typists |
2000-08-19 |
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Paula Duncan pose la question : If it takes a typist 4.5 hours to type 860 words, how many hours would it take 6 typist to do 16800 words? Penny Nom lui répond. |
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Numerator and denominator |
2000-06-18 |
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Maureen Beard pose la question : What is the origin of the terms numerator and denominater? Penny Nom lui répond. |
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Calculus Research Questions |
2000-05-22 |
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William Wright pose la question : I am a Calculus Teacher, and me and my class ran into these two problems without solutions in my manual, we got answers, but are unable to check them. If anyone gets this email and can respond to this with the solutions it be greatly appreciated. . . . Harley Weston lui répond. |
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Two calculus problems |
2000-05-01 |
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Kaushal Shah pose la question : How Do WE Integrate the following Functions, - Integral xtanx dx
- How was natural base "e" discovered and why e=2.7.......
Claude Tardif lui répond. |
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The area of a triangle using calculus |
2000-04-15 |
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Todd Bowie pose la question : Hi, I am not a student but am reviewing calculus for an upcoming interview. I would like to know how to derive the area of a triangle using calculus. Thanks! Patrick Maidorn lui répond. |
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The square root of 3 |
2000-04-04 |
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Mr. William pose la question : Prove that root 3 is irrational Harley Weston lui répond. |
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The side length ratios of some triangles |
2000-04-04 |
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Alexis Lockwood pose la question : I am doing a project for my Math 30B class regarding the side length ratios of 45-45-90 degree and 30-60-90 degree triangles. I would really appreciate any assistance in answering the following questions, or even direction to an appropriate web site or resource on the matter. Harley Weston lui répond. |
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Rationals, irrationals and integers |
2000-03-14 |
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Erin McKeon pose la question : Why does the letter J represent the set of integers, the letter Q represent a set of rational numbers and the letter P represent a set of irrational numbers? What do each of these letters stand for? Harley Weston lui répond. |
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Eligibility in a contest |
2000-03-14 |
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Ken Rabley pose la question : Hi, hoping you can help. Dispute among co-workers. Tell me, what is the correct answer to the following question: -1936 + (2406/4812) x (4756 - 3256) + 1250 Seems this is the question for eligibility in a contest...We have come up with various solutions, all which may be correct. Penny Nom lui répond. |
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Order of operations |
2000-02-27 |
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Mildred Saulsbery pose la question : Find the value of the expression. 6(5+1) - 9(1+1) _____________ 5(8 - 6) -23 Harley Weston lui répond. |
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Some integration problems |
2000-02-23 |
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Tim Valentine pose la question : I am having a great deal of difficulty with the following integrals, can you help? I think they need the use of trig substitution or integration by parts but I cannot figure out how to begin. Thanks! The integral of 1/(2+3x2) dx. and The integral of x * square root of (4x+5) dx. Harley Weston lui répond. |
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Party favors |
2000-02-22 |
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Krystina Fernandez pose la question : Luanne was making party favors for her little sister's birthday party. Each party favor was in the shape of a cube. Luanne had pink and purple paint to paint the cubes and she could paint each face only solid pink or solid purple (no dots,stripes,ect.).For example, one cube may be all purple, another may have two purple faces and four pink faces. Her little sister wanted to have a different cube for each guest.(A cube is not considered different if it can be turned so that all it's sides match the corresponding sides of another cube.)How many different cubes was it possible for Luanne to make? Claude Tardif lui répond. |
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Pi |
2000-02-22 |
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Shelley Collier pose la question : Numbers that can be written in the form p/q where p and q are integers, (q not 0), are known as rational numbers. What you are missing is that p and q must be integers. The fact that Pi is irrational means that you can't have a circle with both the circumference and diameter being integers. In fact you can't even have the circumference and diameter both rational since the quotient of two rationals is again a rational. Claude Tardif and Penny Nom lui répond. |
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Irrational algebraic functions |
2000-02-21 |
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Bucky Cadena pose la question : Here is the multipart problem: Given f(x) = x-3* squareroot of x + 4 What does the f(x) intercept equal Find the two values for which f(x) = -5 Find the one value for which f(x) = -3 Harley Weston lui répond. |
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Mixing oil and gas |
2000-01-25 |
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Karen pose la question : My hubby is ready to use his snow blower and is supposed to use 50:1 measurement....50 parts gas to 1 part oil......how does he do this if he has 1 gallon of gas? How much oil do we use...need info asap.....hopefully you are there! Harley Weston lui répond. |
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Order of operations |
2000-01-16 |
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Dorothy pose la question : I was wondering if you could tell me where I can get some info. on how to solve the following problem. I was given the answer but I don't know how it is solved. 4+2x(6x2)-5=23 Penny Nom lui répond. |
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Ratios |
2000-01-11 |
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Cyndi pose la question :
My name is Cyndi and i am in middle school in the 8th grade. The questions i am about to ask come from my book. My return address is PR_Angel1@yahoo.com The directions on a can of lemonade mix say to use 8 tablespoons of mix to make 2 quarts of lemonade. Heathcliff wants to make 7 quarts of lemonade. How many tablespoons of mix should he use? and In a recent year, the ratio of men to women in the United States armed forces were about 9 to 1 - if there are 90 men in a random group of military personnel, how many women would you expect to find in the group?
- in a group of 90 military personnel, how many of them would you expect to be women?
- what percent of armed forces personnel were women in that year?
Penny Nom lui répond. |
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Fibonacci Numbers |
1999-12-15 |
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Gary Nelb pose la question : I'm doing a project on fibonacci numbers and I'm using different starting values and finding out if different starting values to see whether or not the ratios still get closer to phi. I was wondering, what numbers should I use. Should I use two of the same # like 2 and 2, or numbers like 1 and 2, or even something totally different. Denis Hanson lui répond. |
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Two calculus problems |
1999-12-13 |
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Alan pose la question : I have 2 questions that are very new to me, they were included on a quiz and the material was never covered. Our teacher never explained the purpose and detailed explanation of how to solve the problem. Could you help? Thanks. Question 1: A ball is falling 30 feet from a light that is 50 feet high. After 1 sec. How fast is the shadow of the ball moving towards the light post. Note that a ball moves according to the formula S=16t^2 Question 2: How many trapezoids must one use in order for the error to be less than 10^-8 if we want to find the area under the curve Y=1/X from 1 to 2. Find the exact area, Graph the function and use the trap rule for the "N" that you found. Harley Weston lui répond. |
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Ratios and proportions |
1999-11-19 |
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Rebecca pose la question : I'm not that good of a student and I was woundering if there is a shortcut to ratios and proportion. My 6th grade teach tought all we needed to know. I was just wounder if there was an easier way. Claude Tardif and Harley Weston lui répond. |
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Order of operations |
1999-10-25 |
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Garrett pose la question : 99*(57+76)*9-1085/9 Penny Nom lui répond. |
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(-5)^2, -5^2 and -(5)^2 |
1999-10-13 |
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Jennifer Brown pose la question : What is the difference between the following problems: (-5)2, -52 and -(5)2 Our text book (Beginning Algebra, fourth edition, published by McGraw Hill, by Streeter, Huthison and Hoetzle) says the second and third problem are exactly the same. I don't see how that can be. Is there a mathematical rule that explains this? Penny Nom lui répond. |
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-8*-(-5a)=15 |
1999-09-22 |
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Shelby pose la question : -8*-(-5a)=15 i cannot get this question!! please help me!! Harley Weston lui répond. |
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How many went to the game? |
1999-09-09 |
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Lisa Schmidt pose la question : If 3/4 more students went to the game than actually did go to the game, 25% of all students in the entire school would have gone. What fraction of students in the entire school went to the game? Harley Weston lui répond. |
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The Binomial Theorem for rational exponents |
1999-04-15 |
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Angela Evans pose la question : The full question is this: Isaac Newton generalized the Binomial Theorem to rational exponents. That is, he derived series of expansions for such expressions as (x+y)-3 (x+y)2/3 (x+y)5/6 What did Newton find? What are the first four terms of the series expansions of binomials above? How can this extended Binomial Thrm. be used to aid in calculations? Penny Nom lui répond. |
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Linear programming and optimization |
1999-04-09 |
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Shams pose la question : What is Linear programming and optimization? Jack LeSage and Penny Nom lui répond. |
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The square root of two is never supposed to end |
1999-03-06 |
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a wondering student pose la question : i am algebra II and am in the 9th grade. today we were talking about rational and irrational numbers. When we were talking about square roots my friend and i were talking and we thought of something. if you have a square with sides of length one then the diagonal of the square is the square root of 2. Now the square root of two is never supposed to end. But the diagonal of the square ends so therefore doesn't the square root of 2 end. our math teacher did not really answer our question because it was not in the lesson plan and not to many people would see where we were coming from. the answer is really bugging me and i would like to have your input. Jack LeSage and Penny Nom lui répond. |
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Simplifying Radicals |
1999-01-26 |
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Mary pose la question : I would like to know how to simplify this question:
4 __________________ squareroot7 + squareroot3
I know the answer is (sqrt7 - sqrt3) but i would really love to know how to get that answer!! Thanks. Jack LeSage and Penny Nom lui répond. |
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Root 17 is Irrational |
1999-01-21 |
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John Murdock pose la question : If you could help me out with this I would appreciate it. Prove that the square root of 17 is irrational. Harley Weston lui répond. |
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Turning Fractions into Decimals |
1999-01-16 |
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Lynn pose la question : How do you do it step by step Jack LeSage lui répond. |
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6.99999... = ? |
1998-12-05 |
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Tom pose la question : I have had a rather heated arguement with my students. Please settle this for me. Solve <,>, = 6.99999... __ 7 Thank you. Penny Nom lui répond. |
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Terminating decimals |
1998-11-16 |
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Debra Karr pose la question : A college student studying elementary education asked me a question that I could not think of the correct answer. How can you look at a fraction and tell if is a terminating or non terminating decimal? Jack LeSage and Penny Nom lui répond. |
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Adding Fractions |
1998-10-15 |
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Lindsay pose la question : please help me!!!! Harley Weston lui répond. |
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Operations Research |
1998-10-08 |
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Lisa Barrett pose la question : What is the history of operations research and the study of linear programming? Judi McDonald lui répond. |
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Repeating Decimals |
1998-10-01 |
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Chris Norton pose la question : Could you PLEASE give the formula to find out the number of digits in a repeating decimal before it repeats. I have been trying to get it for weeks from Math sites on the Internet. Can you please, please help me ? Chris Norton Chris Fisher and Penny Nom lui répond. |
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Rational and Irrational Numbers |
1998-09-19 |
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Ri pose la question : I am trying to explain rational & irrational numbers to my niece who is grade 7 and am having difficulties. Could you please explain the difference between rational & irrational numbers. Thank you Ri Penny Nom lui répond. |
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Rational Numbers |
1998-09-05 |
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Kristin Mckenzie pose la question : Iam a secondary student with a math question I don't know how to do. This is the question: Explain whether each decimal number represents a rational number. (a) 0.16 (b) 0.12 (c) -3.125 (d) -0.27 (e) -0,212 112 111 2 .... (f) 0. 457 92 If it wouldn't be a problem i would really appreciate it if you sent back the instructions on how to do the question. My name is Kristin Mckenzie and my return e-mail is lexus1999@hotmail.com Thank-you for you time Jack LeSage and Harley Weston lui répond. |
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The area and the circumference of a circle. |
1998-08-27 |
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Jason Wright pose la question : I was looking at the relationship of the area of a circle and the circumference when I realized that 2*pi*r is the derivative of pi*r^2. I was wondering if there is any connective deep dark meaning as to why this appears to be related. Thanks for any help you can give me! Walter Whiteley lui répond. |
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Calculus problems |
1998-07-13 |
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Lorraine pose la question : I'm stuck again. Can you help? This involves integration using the method of partial fractions the integral of: 7x(to the 5th) - 2x(cubed) + 3 dx -------------------------------------- x(to the fourth) - 81 Do I have to do long division to reduce the numerator to the fourth power? the integral of: 4- 16x +21x(squared) + 6x(cubed) - 3x(fourth) dx ---------------------------------------------------- x(cubed)(x - 2)(squared) Lorraine Harley Weston lui répond. |
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A Calculus Problem |
1998-06-28 |
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Lorraine pose la question : I'm a post-secondary student taking calculus by correspondence. I'm stuck on the following question (and similar ones) Can you help? Evaluate the following indefinite integral: d(theta) ---------- 1 + sin (theta) (It says to multiply both numerator and denominator by: 1 - sin(theta) Thanks Lorraine Harley Weston lui répond. |
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(-2)^x |
1997-12-12 |
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Ken Bokinac pose la question : During our math class last week we came accross an equation that we could not graph we were wondering if you could help us try and graph it. The question is: y=(-2)^x Harley Weston lui répond. |
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Ratios. |
1997-11-26 |
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Jennifer Kim pose la question : I am a grade 12 math student who would like to know if there is an easy way to solve In a school the ratio of the number of Grade 11 students to the number of grade 12 students is 4:3. If there were 5 fewer students in grade 11 and 3 more students in grade 12, the ratio would be 7:6. How many students in each grade? Penny Nom lui répond. |
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Division by a fraction. |
1997-11-21 |
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Roger Marchegiano pose la question : I am interested in a solution to the following extra credit problem for my son in Geometry. We have been unable to produce a satisfactory response: Show a geometric representation of the division of fractions algorithm, (When you divide fractions you multiply the numerator by the reciprocal of the denominator). Penny Nom lui répond. |
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A Question About Pi. |
1997-07-08 |
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Mike Chan pose la question : I have read the section Repeating Decimals in your data base. It mention that 1/17 has at most only 16 repeating digits. But, why does "pi" have an infinite number of digits (and not repeating ). Penny Nom lui répond. |
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A proof that e is Irrational. |
1997-04-30 |
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Peter Hall and Jenny pose la question : We have a little mathematical problem... we need some help proving e is an irrational number! We don't feel very confident in our formulas, so if You have the time to give us a little explanation we would be very grateful!!! Doug Farenick and Penny Nom lui répond. |
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Repeating Decimals |
1997-01-24 |
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Grant Reed pose la question : Is there a way to tell that the repeating decimal for 1/17 has no more than 16 repeating digits? Penny Nom lui répond. |
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Priority of operations |
1996-11-04 |
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Wallace pose la question : What is the answer to this problem? Let x=-2 and y=3. Evaluate 12x / 2y (if the old division sign is used). Chris Fisher lui répond. |
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What is the golden section? |
1995-09-17 |
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Cindy pose la question : What is the golden section of a line? Denis Hanson lui répond. |
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